Finite Group Databasebeta

← Group #501502

Character table — Group #501502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888224444888888881616161616161616161616161616161616161616161616161616161616161616224444442444
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
χ5111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ6111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ7111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-111-1
χ8111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-1-11
χ911111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
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
χ2322222222-2-2-2-222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-222-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-222222222-2-2000000000000000022-2-2-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-222222222-2-2000000000000000022-2-2-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-22222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-2222200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222000000000000
χ29222-2-2-2-2222-2-20000002i2i−2i−2i0022−2−22222−2−2−2−222−2−200002i−2ii2i2−i2−i2i2i2−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+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
χ30222-2-2-2-2222-2-20000002i2i−2i−2i0022−2−22222−2−2−2−222−2−200002i−2ii2i2−i2−i2i2i2−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−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ31222-2-2-2-2222-2-20000002i2i−2i−2i00−2−222−2−2−2−22222−2−22200002i−2i−i2−i2i2i2−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−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
χ32222-2-2-2-2222-2-20000002i2i−2i−2i00−2−222−2−2−2−22222−2−22200002i−2i−i2−i2i2i2−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+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
χ33222-2-2-2-2222-2-2000000−2i−2i2i2i0022−2−22222−2−2−2−222−2−20000−2i2i−i2−i2i2i2−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+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
χ34222-2-2-2-2222-2-2000000−2i−2i2i2i0022−2−22222−2−2−2−222−2−20000−2i2i−i2−i2i2i2−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−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
χ35222-2-2-2-2222-2-2000000−2i−2i2i2i00−2−222−2−2−2−22222−2−2220000−2i2ii2i2−i2−i2i2i2−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−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
χ36222-2-2-2-2222-2-2000000−2i−2i2i2i00−2−222−2−2−2−22222−2−2220000−2i2ii2i2−i2−i2i2i2−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+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
χ37222-2-2-2-22-2-2220000002i2i−2i−2i0022−2−2−2−2−2−2222222−2−20000−2i2ii2i2−i2−i2−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−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
χ38222-2-2-2-22-2-2220000002i2i−2i−2i0022−2−2−2−2−2−2222222−2−20000−2i2ii2i2−i2−i2−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−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ39222-2-2-2-22-2-2220000002i2i−2i−2i00−2−2222222−2−2−2−2−2−2220000−2i2i−i2−i2i2i2i2i2−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+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
χ40222-2-2-2-22-2-2220000002i2i−2i−2i00−2−2222222−2−2−2−2−2−2220000−2i2i−i2−i2i2i2i2i2−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−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
χ41222-2-2-2-22-2-222000000−2i−2i2i2i0022−2−2−2−2−2−2222222−2−200002i−2i−i2−i2i2i2i2i2−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−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
χ42222-2-2-2-22-2-222000000−2i−2i2i2i0022−2−2−2−2−2−2222222−2−200002i−2i−i2−i2i2i2i2i2−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+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
χ43222-2-2-2-22-2-222000000−2i−2i2i2i00−2−2222222−2−2−2−2−2−22200002i−2ii2i2−i2−i2−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+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
χ44222-2-2-2-22-2-222000000−2i−2i2i2i00−2−2222222−2−2−2−2−2−22200002i−2ii2i2−i2−i2−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−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
χ4522-22-22-2-22i−2i2i−2i2-22i2i−2i−2i00002-22-22-22i2i−2i−2i2i2i−2i−2i2-22-200000000000000000000000000000000000000000000002-200002i−2i0000
χ4622-22-22-2-22i−2i2i−2i2-22i2i−2i−2i00002-22-22-22i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000000000000000000000000000-220000−2i2i0000
χ4722-22-22-2-22i−2i2i−2i2-22i2i−2i−2i00002-2-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000000000000000000000000000002-22i−2i000000
χ4822-22-22-2-22i−2i2i−2i2-22i2i−2i−2i00002-2-22-22−2i−2i2i2i−2i−2i2i2i-22-22000000000000000000000000000000000000000000000000-22−2i2i000000
χ4922-22-22-2-2−2i2i−2i2i2-2−2i−2i2i2i00002-22-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000000000000000000000000000000002-20000−2i2i0000
χ5022-22-22-2-2−2i2i−2i2i2-2−2i−2i2i2i00002-22-22-2−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000000000000000000000000000-2200002i−2i0000
χ5122-22-22-2-2−2i2i−2i2i2-2−2i−2i2i2i00002-2-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000000000000000000000000000000000002-2−2i2i000000
χ5222-22-22-2-2−2i2i−2i2i2-2−2i−2i2i2i00002-2-22-222i2i−2i−2i2i2i−2i−2i-22-22000000000000000000000000000000000000000000000000-222i−2i000000
χ532-2222-2-2-20000002i−2i2i−2i2i−2i2i−2i0022−2−2i2−i2i2−i2i2−i2i2−i2−2−2222-20000i2−i2i2−i22−22−2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ542-2222-2-2-20000002i−2i2i−2i2i−2i2i−2i0022−2−2i2−i2i2−i2i2−i2i2−i2−2−2222-20000i2−i2i2−i22−22−2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ552-2222-2-2-20000002i−2i2i−2i2i−2i2i−2i00−2−222−i2i2−i2i2−i2i2−i2i222−2−22-20000−i2i2−i2i2−22−22ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ562-2222-2-2-20000002i−2i2i−2i2i−2i2i−2i00−2−222−i2i2−i2i2−i2i2−i2i222−2−22-20000−i2i2−i2i2−22−22−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ572-2222-2-2-20000002i−2i2i−2i−2i2i−2i2i0022−2−2i2−i2i2−i2i2−i2i2−i2−2−222-220000−i2i2−i2i2−22−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ582-2222-2-2-20000002i−2i2i−2i−2i2i−2i2i0022−2−2i2−i2i2−i2i2−i2i2−i2−2−222-220000−i2i2−i2i2−22−22−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ592-2222-2-2-20000002i−2i2i−2i−2i2i−2i2i00−2−222−i2i2−i2i2−i2i2−i2i222−2−2-220000i2−i2i2−i22−22−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ602-2222-2-2-20000002i−2i2i−2i−2i2i−2i2i00−2−222−i2i2−i2i2−i2i2−i2i222−2−2-220000i2−i2i2−i22−22−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ612-2222-2-2-2000000−2i2i−2i2i2i−2i2i−2i0022−2−2−i2i2−i2i2−i2i2−i2i2−2−222-220000i2−i2i2−i2−22−22ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
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χ632-2222-2-2-2000000−2i2i−2i2i2i−2i2i−2i00−2−222i2−i2i2−i2i2−i2i2−i222−2−2-220000−i2i2−i2i22−22−2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ642-2222-2-2-2000000−2i2i−2i2i2i−2i2i−2i00−2−222i2−i2i2−i2i2−i2i2−i222−2−2-220000−i2i2−i2i22−22−2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ652-2222-2-2-2000000−2i2i−2i2i−2i2i−2i2i0022−2−2−i2i2−i2i2−i2i2−i2i2−2−2222-20000−i2i2−i2i22−22−2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
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χ672-2222-2-2-2000000−2i2i−2i2i−2i2i−2i2i00−2−222i2−i2i2−i2i2−i2i2−i222−2−22-20000i2−i2i2−i2−22−22ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ682-2222-2-2-2000000−2i2i−2i2i−2i2i−2i2i00−2−222i2−i2i2−i2i2−i2i2−i222−2−22-20000i2−i2i2−i2−22−22−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ692-22-2-222-200002200002-2-22-2-200002i−2i2i−2i−2i2i−2i2i0000002-2000000−2i2i2i−2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ702-22-2-222-200002200002-2-22-2-200002i−2i2i−2i−2i2i−2i2i0000002-2000000−2i2i2i−2i−222−2−222−2−i2i2i2−i2i2−i2−i2i2−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ712-22-2-222-200002200002-2-22-2-20000−2i2i−2i2i2i−2i2i−2i0000002-20000002i−2i−2i2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ722-22-2-222-200002200002-2-22-2-20000−2i2i−2i2i2i−2i2i−2i0000002-20000002i−2i−2i2i−222−2−222−2i2−i2−i2i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ732-22-2-222-20000220000-222-2-2-200002i−2i2i−2i−2i2i−2i2i000000-220000002i−2i−2i2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i2−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ742-22-2-222-20000220000-222-2-2-200002i−2i2i−2i−2i2i−2i2i000000-220000002i−2i−2i2i−222−2−222−2−i2i2i2−i2i2−i2−i2i22−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ752-22-2-222-20000220000-222-2-2-20000−2i2i−2i2i2i−2i2i−2i000000-22000000−2i2i2i−2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
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χ772-22-2-222-20000-2-200002-2-2222222200000000-2-2-2-200-22002-2-220000000000002i−2i−2i2i2i−2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ782-22-2-222-20000-2-200002-2-2222222200000000-2-2-2-200-22002-2-22000000000000−2i2i2i−2i−2i2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000
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χ802-22-2-222-20000-2-200002-2-2222-2-2-2-200000000222200-2200-222-20000-222-22-2-2200000000-222-22-2-2200000000000000000000
χ812-22-2-222-20000-2-20000-222-222222200000000-2-2-2-2002-200-222-20000000000002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ822-22-2-222-20000-2-20000-222-222222200000000-2-2-2-2002-200-222-2000000000000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
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χ842-22-2-222-20000-2-20000-222-222-2-2-2-2000000002222002-2002-2-220000-222-22-2-22000000002-2-22-222-200000000000000000000
χ8544-44-44-4-44i−4i4i−4i-44−4i−4i4i4i0000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-44-44-4-4−4i4i−4i4i-444i4i−4i−4i0000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-44-44-44i−4i−4i4i00000000000022−22−22222i22i2−2i2−2i2−2i2−2i22i22i222−22−22220000000000000000000000000000000000000000000000000000000000
χ8844-4-44-44-44i−4i−4i4i000000000000−222222−22−2i2−2i22i22i22i22i2−2i2−2i2−222222−220000000000000000000000000000000000000000000000000000000000
χ8944-4-44-44-4−4i4i4i−4i00000000000022−22−2222−2i2−2i22i22i22i22i2−2i2−2i222−22−22220000000000000000000000000000000000000000000000000000000000
χ9044-4-44-44-4−4i4i4i−4i000000000000−222222−222i22i2−2i2−2i2−2i2−2i22i22i2−222222−220000000000000000000000000000000000000000000000000000000000
χ914-4-44-4-4440000004-4-4400000022−22−222222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-4440000004-4-44000000−222222−22−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-4-44-4-444000000-444-400000022−22−2222−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ944-4-44-4-444000000-444-4000000−222222−2222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-4400004-400000000-4400004-4-44-444-400000000000000000000000000000000000000000000000000000000000000
χ964-4-4-444-4400004-400000000-440000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-440000-44000000004-44-44-400000000-44-440000000000000000000000000000000000000000000000000000000000
χ984-4-4-444-440000-44000000004-4-44-44000000004-44-40000000000000000000000000000000000000000000000000000000000

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