\frac{p^2 \left(d^{13}+p^2 \left((p-3) p \overline{Q_3}-\overline{Q_2}\right) d^{11}+\left(d^2 \left(\overline{Q_2}-3 (p-3) p \overline{Q_3}\right) p^2+\left\langle d^2\right\rangle  \left(3 (p-3) p \overline{Q_3}-\overline{Q_2}\right) p+d (p-1) \left(\overline{Q_2}-3 (p-1) p \left(\overline{Q_3}-2 (p-1) p \overline{Q_4}\right)\right)\right) d^8+\left(2 d^3 (p-3) \overline{Q_3} p^3+(p-3) \left\langle d^3\right\rangle  \overline{Q_3} p+3 d^2 (p-1)^2 \left(\overline{Q_3}-6 (p-1) p \overline{Q_4}\right) p-3 (p-1)^2 \left\langle d^2\right\rangle  \left(\overline{Q_3}-6 (p-1) p \overline{Q_4}\right)+d \left(p \left((4-11 p) \overline{Q_4}+5 (p-1) p (7 p-2) \overline{Q_5}\right) (p-1)^2+\left(p \left(p \left(-3 p \left\langle d^2\right\rangle +9 \left\langle d^2\right\rangle +2\right)-3\right)+1\right) \overline{Q_3}\right)\right) d^6+(p-1) \left(12 (p-1)^2 p^2 \overline{Q_4} d^3+(p-1) p \left((11 p-4) \overline{Q_4}-15 (p-1) p (7 p-2) \overline{Q_5}\right) d^2+\left(\left(1-6 (p-1) p \left(3 (p-1) \left\langle d^2\right\rangle -1\right)\right) \overline{Q_4}+5 (p-1) p \left((2 (4-5 p) p-1) \overline{Q_5}+3 (p-1) p (5 p (3 p-2)+1) \overline{Q_6}\right)\right) d+(p-1) \left((4-11 p) \left\langle d^2\right\rangle  \overline{Q_4}+6 (p-1) \left\langle d^3\right\rangle  \overline{Q_4}+15 (p-1) p (7 p-2) \left\langle d^2\right\rangle  \overline{Q_5}\right)\right) d^4+(p-1) \left(10 (p-1)^2 p^2 (7 p-2) \overline{Q_5} d^3+5 (p-1) p \left((2 p (5 p-4)+1) \overline{Q_5}-9 (p-1) p (5 p (3 p-2)+1) \overline{Q_6}\right) d^2+\left(p \left(-15 (7 p-2) \left\langle d^2\right\rangle  (p-1)^2+12 p (2 p-3)+14\right)-1\right) \overline{Q_5} d-(p-1) p \left(p \left(274 p^2-346 p+109\right)-6\right) \overline{Q_6} d+5 (p-1) \left((2 (4-5 p) p-1) \left\langle d^2\right\rangle  \overline{Q_5}+(p-1) (7 p-2) \left\langle d^3\right\rangle  \overline{Q_5}+9 (p-1) p (5 p (3 p-2)+1) \left\langle d^2\right\rangle  \overline{Q_6}\right)\right) d^2+(p-1) \left(30 (p-1)^2 p^2 (5 p (3 p-2)+1) d^3+(p-1) p \left(p \left(274 p^2-346 p+109\right)-6\right) d^2+\left(1-15 (p-1) p \left(3 (p-1) (5 p (3 p-2)+1) \left\langle d^2\right\rangle -2 (1-2 p)^2\right)\right) d-(p-1) \left(\left(p \left(274 p^2-346 p+109\right)-6\right) \left\langle d^2\right\rangle -15 (p-1) (5 p (3 p-2)+1) \left\langle d^3\right\rangle \right)\right) \overline{Q_6}-p (p (p ((p-6) p+15)-20)+15) \left((d-1) d p \left((d-2) d p \left((d-3) d p \left((d-4) d p \left((d-5) p d^2+15 \left\langle d^2\right\rangle \right)+20 \left\langle d^3\right\rangle \right)+15 \left\langle d^4\right\rangle \right)+6 \left\langle d^5\right\rangle \right)+\left\langle d^6\right\rangle \right) \overline{Q_6}+\left((d-1) d p \left((d-2) d p \left((d-3) d p \left((d-4) p d^2+10 \left\langle d^2\right\rangle \right)+10 \left\langle d^3\right\rangle \right)+5 \left\langle d^4\right\rangle \right)+\left\langle d^5\right\rangle \right) \left(15 \overline{Q_6} (p-1)^5+d^2 p (p ((p-5) p+10)-10) \overline{Q_5}\right)-\left((d-1) d p \left((d-2) d p \left((d-3) d p+6 \left\langle d^2\right\rangle \right)+4 \left\langle d^3\right\rangle \right)+\left\langle d^4\right\rangle \right) \left(p ((p-4) p+6) \overline{Q_4} d^4+10 (p-1)^4 \overline{Q_5} d^2+5 (p-1)^4 (17 p-4) \overline{Q_6}\right)\right)}{d^{11}}