In this question, we return to the case of II.B.3 (i.e., $\alpha = 3$, $p = 3$, $n = 100$). Knowing that $6 ! a _ { 6 } = \frac { 1 } { 42 }$, recover that the error $\left| S ( 3 ) - \widetilde { S } _ { 100,4 } ( 3 ) \right|$ is bounded by an expression of order $10 ^ { - 17 }$.