$$
\begin{array}{l} + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3}} + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {2} \tau} + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {2} \tau} \\ + \frac {8 5 8 9 9 3 4 5 9 2 L \hat {L} ^ {6} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {3}} + \frac {8 5 8 9 9 3 4 5 9 2 L \hat {L} ^ {6} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {3}} + \frac {8 5 8 9 9 3 4 5 9 2 L _ {\max } \hat {L} ^ {6} \omega^ {4} p ^ {4} \tau}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {4}} \\ + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {6}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {2} \tau^ {2}} + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {2} \tau} + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {2} \tau^ {2}} \\ + \frac {1 7 1 7 9 8 6 9 1 8 4 L \hat {L} ^ {6} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {3}} + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {2} \tau^ {2}} + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {2} \tau} \\ + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {2} \tau} + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {3}} + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {3}} \\ + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {6}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {2} \tau^ {2}} + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {2} \tau} + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {2} \tau^ {2}} \\ + \frac {6 8 7 1 9 4 7 6 7 3 6 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {3}} + \frac {6 8 7 1 9 4 7 6 7 3 6 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {2} \tau^ {2}} + \frac {1 0 4 8 5 7 6 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p \tau}{\bar {L} ^ {4} \alpha^ {3} \beta n ^ {2}} \\ + \frac {4 1 9 4 3 0 4 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta n ^ {2}} + \frac {4 1 9 4 3 0 4 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n ^ {2}} + \frac {4 1 9 4 3 0 4 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {2} \tau} \\ + \frac {8 3 8 8 6 0 8 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {2} \tau^ {2}} + \frac {3 3 5 5 4 4 3 2 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {4} n ^ {2}} + \frac {3 3 5 5 4 4 3 2 L ^ {3} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {2} \tau} \\ + \frac {3 4 6 0 3 0 0 8 L L _ {\operatorname* {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n ^ {2}} + \frac {6 7 1 0 8 8 6 4 L L _ {\operatorname* {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {3} n ^ {2}} + \frac {6 7 1 0 8 8 6 4 L L _ {\operatorname* {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {3}} \\ + \frac {6 7 1 0 8 8 6 4 L ^ {3} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {2} \tau^ {2}} + \frac {1 3 4 2 1 7 7 2 8 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {2} \tau} + \frac {1 3 8 4 1 2 0 3 2 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {2} \tau} \\ + \frac {2 6 8 4 3 5 4 5 6 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {6}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {2} \tau^ {2}} + \frac {2 6 8 4 3 5 4 5 6 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {2} \tau} + \frac {2 7 6 8 2 4 0 6 4 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {2} \tau^ {2}} \\ + \frac {5 3 6 8 7 0 9 1 2 L L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {3}} + \frac {5 3 6 8 7 0 9 1 2 L L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {3}} + \frac {5 3 6 8 7 0 9 1 2 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {2} \tau^ {2}} \\ + \frac {5 3 6 8 7 0 9 1 2 L ^ {3} L _ {\operatorname* {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {2} \tau} + \frac {5 7 0 4 2 5 3 4 4 L ^ {3} L _ {\operatorname* {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {2} \tau} + \frac {1 0 7 3 7 4 1 8 2 4 L L _ {\operatorname* {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {3}} \\ + \frac {1 0 7 3 7 4 1 8 2 4 L L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {3}} + \frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {6}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {2} \tau^ {2}} + \frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {2} \tau} \\ + \frac {1 1 4 0 8 5 0 6 8 8 L L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {3}} + \frac {1 1 4 0 8 5 0 6 8 8 L ^ {3} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {2} \tau^ {2}} + \frac {2 1 4 7 4 8 3 6 4 8 L L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {3}} \\ + \frac {2 1 4 7 4 8 3 6 4 8 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {2} \tau^ {2}} + \frac {2 1 4 7 4 8 3 6 4 8 L ^ {2} L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {3} \tau} + \frac {2 1 4 7 4 8 3 6 4 8 L ^ {2} L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {3} \tau} \\ + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {6}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {3} \tau^ {2}} + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {3} \tau} + \frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {3} \tau^ {2}} \\ + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {2} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {3} \tau^ {2}} + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {3} \tau} + \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {3} \tau} \\ + \frac {1 7 1 7 9 8 6 9 1 8 4 L L _ {\operatorname* {m a x}} \hat {L} ^ {6} \omega^ {4} p ^ {5} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {4}} + \frac {1 7 1 7 9 8 6 9 1 8 4 L L _ {\operatorname* {m a x}} \hat {L} ^ {6} \omega^ {4} p ^ {3} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {4}} + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\operatorname* {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {6}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {3} \tau^ {2}} \\ + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3} \tau} + \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {3} \tau^ {2}} + \frac {3 4 3 5 9 7 3 8 3 6 8 L L _ {\mathrm {m a x}} \hat {L} ^ {6} \omega^ {4} p ^ {4} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {4}} \\ + \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {3} L _ {\mathrm {m a x}} \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3} \tau^ {2}} \leq \frac {3}{4} \\ \end{array}
$$