// Gelfond 的恒等式
如果：
$$ left( egin{array}{c} x_1\ x_2\ x_3\ x_4\ x_5\ x_6 end{array} ight) = left( egin{array}{c} a \ a + b + 4c\ a + 2b + c\ a + 4b + 9c\ a + 5b + 6c\ a + 6b + 10c end{array} ight) left( egin{array}{c} y_1\ y_2\ y_3\ y_4\ y_5\ y_6 end{array} ight) = left( egin{array}{c} a + b \ a + c\ a + 2b + 6c\ a + 4b + 4c\ a + 5b + 10c\ a + 6b + 9c end{array} ight) $$
那么对于 n = 1, 2, 3, 4, 5。
$$ x_1^n + dots + x_6^n = y_1^n + dots + y_6^n $$