M 10 20 30 40 E$_{0}$ -0.395079 -0.397740 -0.397743 -0.397743 E$_{1}$ 0.536349 0.116356 0.048091 0.026008 [tan δ$_{1}$ ] 2 nd -1.507280 -0.622242 -0.392005 -0.286479 tan δ$_{1}$ -1.522377 -0.621938 -0.392021 -0.286480 E$_{2}$ 1.984580 0.449655 0.190019 0.103503 [tan δ$_{2}$ ] 2 nd -5.919685 -1.353736 -0.812313 -0.584389 tan δ$_{2}$ -5.703495 -1.354691 -0.812270 -0.584388 E$_{3}$ 4.512635 0.994433 0.423117 0.231645 [tan δ$_{3}$ ] 2 nd 13.998124 -2.451174 -1.302799 -0.908128 tan δ$_{3}$ 12.684474 -2.448343 -1.302887 -0.908131 TABLE I: The two-nucleon bound state E$_{0}$ and the first three positive eigenvalues E$_{j}$ ( j = 1 , 3), as a function of the number of Laguerre polynomials M . The second order estimates, [tan δ$_{j}$ ] 2 $^{nd}$, obtained applying the integral relations are given in each case and compared to the exact results, tan δ$_{j}$ . 25