If \( 1+\left(1-2^{2} \cdot 1\right)+\left(1-4^{2} \cdot 3\right)+\left(1-6^{2} \cdot 5\right)+\ldots \ldots \ldots \ldo…

If \( 1+\left(1-2^{2} \cdot 1\right)+\left(1-4^{2} \cdot 3\right)+\left(1-6^{2} \cdot 5\right)+\ldots \ldots \ldots \ldots \ldots+(1 \left.-20^{2} \cdot 19\right)=\alpha-220 \beta \), then an ordered pair \( (\alpha, \beta) \) is equal to :

[JEE Main 2020, 4 Sep (Shift 1)]