SlowGuess/NeurIPS_2023_OCR huggingface dataset:
$$
\frac {2 0 4 8 L ^ {2} p}{\bar {L} ^ {2} \alpha^ {2} \tau} \leq \frac {1}{3 2 6} \quad (1 1 2) \quad \frac {4 0 9 6 L ^ {2} p ^ {2}}{\bar {L} ^ {2} \alpha^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad (1 1 3) \quad \frac {6 5 5 3 6 L ^ {4} p}{\bar {L} ^ {4} \alpha^ {4} \tau} \leq \frac {1}{3 2 6} \tag {114}
$$
$$
\frac {1 3 1 0 7 2 L ^ {4} p ^ {2}}{\bar {L} ^ {4} \alpha^ {4} \tau^ {2}} \leq \frac {1}{3 2 6} \quad (1 1 5) \quad \frac {1 6 L L _ {\max } \omega}{\bar {L} ^ {2} \alpha n} \leq \frac {1}{3 2 6} \quad (1 1 6) \quad \frac {1 2 8 L _ {\max } \omega p}{\bar {L} \beta n} \leq \frac {1}{3 2 6} \tag {117}
$$
$$
\frac {1 2 8 L _ {\max} \omega p ^ {2}}{\bar {L} \beta^ {2} n} \leq \frac {1}{3 2 6} \quad (1 1 8) \quad \frac {8 1 9 2 L ^ {3} L _ {\max} \omega}{\bar {L} ^ {4} \alpha^ {3} n} \leq \frac {1}{3 2 6} \quad (1 1 9) \quad \frac {5 1 2 L L _ {\max} \omega p}{\bar {L} ^ {2} \alpha \beta n} \leq \frac {1}{3 2 6} \tag {120}
$$
$$
\frac {5 1 2 L L _ {\max} \omega p ^ {2}}{\bar {L} ^ {2} \alpha \beta^ {2} n} \leq \frac {1}{3 2 6} \quad (1 2 1) \quad \frac {2 0 4 8 L _ {\max} \hat {L} ^ {2} \omega^ {2} p}{\bar {L} ^ {3} \alpha \beta n ^ {2}} \leq \frac {1}{3 2 6} \quad (1 2 2) \quad \frac {2 0 4 8 L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {3} \alpha \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad (1 2 3)
$$
$$
\frac {4 0 9 6 L L _ {\max} \omega p \tau}{\bar {L} ^ {2} \alpha^ {2} n} \leq \frac {1}{3 2 6} \quad (1 2 4) \quad \frac {3 2 7 6 8 L ^ {3} L _ {\max} \omega p}{\bar {L} ^ {4} \alpha^ {3} n \tau} \leq \frac {1}{3 2 6} \quad (1 2 5) \quad \frac {6 5 5 3 6 L ^ {3} L _ {\max} \omega p ^ {2}}{\bar {L} ^ {4} \alpha^ {3} n \tau^ {2}} \leq \frac {1}{3 2 6} \quad (1 2 6)
$$
$$
\frac {6 9 6 3 2 L \hat {L} ^ {2} \omega p}{\bar {L} ^ {3} \alpha^ {2} \beta n} \leq \frac {1}{3 2 6} \quad (1 2 7) \quad \frac {6 9 6 3 2 L \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {3} \alpha^ {2} \beta^ {2} n} \leq \frac {1}{3 2 6} \quad (1 2 8) \quad \frac {1 3 1 0 7 2 L ^ {2} \hat {L} ^ {2} \omega p \tau}{\bar {L} ^ {4} \alpha^ {4} n} \leq \frac {1}{3 2 6} \quad (1 2 9)
$$
$$
\frac {2 6 2 1 4 4 L ^ {3} L _ {\max} \omega p}{\bar {L} ^ {4} \alpha^ {3} \beta n} \leq \frac {1}{3 2 6} (1 3 0) \quad \frac {2 6 2 1 4 4 L ^ {3} L _ {\max} \omega p ^ {2}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n} \leq \frac {1}{3 2 6} (1 3 1) \quad \frac {2 7 8 5 2 8 L ^ {2} \hat {L} ^ {2} \omega p}{\bar {L} ^ {4} \alpha^ {3} \beta n} \leq \frac {1}{3 2 6} (1 3 2)
$$
$$
\frac {2 7 8 5 2 8 L ^ {2} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n} \leq \frac {1}{3 2 6} \quad (1 3 3) \quad \frac {2 0 9 7 1 5 2 L ^ {3} \hat {L} ^ {2} \omega p}{\bar {L} ^ {5} \alpha^ {4} \beta n} \leq \frac {1}{3 2 6} \quad (1 3 4) \quad \frac {2 0 9 7 1 5 2 L ^ {3} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {5} \alpha^ {4} \beta^ {2} n} \leq \frac {1}{3 2 6} \quad (1 3 5)
$$
$$
\frac {1 6 7 7 7 2 1 6 L ^ {4} \hat {L} ^ {2} \omega p}{\bar {L} ^ {6} \alpha^ {5} \beta n} \leq \frac {1}{3 2 6} (1 3 6) \quad \frac {1 6 7 7 7 2 1 6 L ^ {4} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {6} \alpha^ {5} \beta^ {2} n} \leq \frac {1}{3 2 6} (1 3 7) \quad \frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \tag {138}
$$
$$
\frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {2}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \tag {141}
$$
$$
\frac {4 2 9 4 9 6 7 2 9 6 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {2}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 1 9 2 L L _ {\max } \hat {L} ^ {2} \omega^ {2} p}{\bar {L} ^ {4} \alpha^ {2} \beta n ^ {2}} \leq \frac {1}{3 2 6} \tag {144}
$$
$$
\frac {8 1 9 2 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {4} \alpha^ {2} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} (1 4 5) \quad \frac {6 5 5 3 6 L L _ {\max} \omega p \tau}{\bar {L} ^ {2} \alpha^ {2} \beta n} \leq \frac {1}{3 2 6} (1 4 6) \quad \frac {6 5 5 3 6 L L _ {\max} \omega p ^ {2} \tau}{\bar {L} ^ {2} \alpha^ {2} \beta^ {2} n} \leq \frac {1}{3 2 6} (1 4 7)
$$
$$
\frac {6 5 5 3 6 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p \tau}{\bar {L} ^ {4} \alpha^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 6 2 1 4 4 L \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {3} \alpha^ {2} \beta n \tau} \leq \frac {1}{3 2 6} \quad (1 4 9) \quad \frac {2 6 2 1 4 4 L \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {3} \alpha^ {2} \beta^ {2} n \tau} \leq \frac {1}{3 2 6} \tag {150}
$$
$$
\frac {5 2 4 2 8 8 L \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {3} \alpha^ {2} \beta n \tau^ {2}} \leq \frac {1}{3 2 6} \quad (1 5 1) \quad \frac {5 2 4 2 8 8 L \hat {L} ^ {2} \omega p ^ {4}}{\bar {L} ^ {3} \alpha^ {2} \beta^ {2} n \tau^ {2}} \leq \frac {1}{3 2 6} \quad (1 5 2) \quad \frac {5 2 4 2 8 8 L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {3} \alpha^ {2} \beta n ^ {2}} \leq \frac {1}{3 2 6} \tag {153}
$$
$$
\frac {5 2 4 2 8 8 L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {3} \alpha^ {2} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 0 4 8 5 7 6 L ^ {3} L _ {\max} \omega p ^ {2}}{\bar {L} ^ {4} \alpha^ {3} \beta n \tau} \leq \frac {1}{3 2 6} \quad \frac {1 0 4 8 5 7 6 L ^ {3} L _ {\max} \omega p ^ {3}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n \tau} \leq \frac {1}{3 2 6} \tag {156}
$$
$$
\frac {1 0 4 8 5 7 6 L ^ {2} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {4} \alpha^ {3} \beta n \tau} \leq \frac {1}{3 2 6} (1 5 7) \quad \frac {1 0 4 8 5 7 6 L ^ {2} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n \tau} \leq \frac {1}{3 2 6} (1 5 8) \quad \frac {1 0 4 8 5 7 6 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {2}} \leq \frac {1}{3 2 6} (1 5 9)
$$
$$
\frac {2 0 9 7 1 5 2 L ^ {3} L _ {\max} \omega p ^ {3}}{\bar {L} ^ {4} \alpha^ {3} \beta n \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 0 9 7 1 5 2 L ^ {3} L _ {\max} \omega p ^ {4}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 0 9 7 1 5 2 L ^ {2} \hat {L} ^ {2} \omega p \tau}{\bar {L} ^ {4} \alpha^ {4} \beta n} \leq \frac {1}{3 2 6} (1 6 2)
$$
$$
\frac {2 0 9 7 1 5 2 L ^ {2} \hat {L} ^ {2} \omega p ^ {2} \tau}{\bar {L} ^ {4} \alpha^ {4} \beta^ {2} n} \leq \frac {1}{3 2 6} (1 6 3) \quad \frac {2 0 9 7 1 5 2 L ^ {2} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {4} \alpha^ {3} \beta n \tau^ {2}} \leq \frac {1}{3 2 6} (1 6 4) \quad \frac {2 0 9 7 1 5 2 L ^ {2} \hat {L} ^ {2} \omega p ^ {4}}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n \tau^ {2}} \leq \frac {1}{3 2 6} (1 6 5)
$$
$$
\frac {8 3 8 8 6 0 8 L ^ {3} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {5} \alpha^ {4} \beta n \tau} \leq \frac {1}{3 2 6} (1 6 6) \quad \frac {8 3 8 8 6 0 8 L ^ {3} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {5} \alpha^ {4} \beta^ {2} n \tau} \leq \frac {1}{3 2 6} (1 6 7) \quad \frac {8 3 8 8 6 0 8 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {2}} \leq \frac {1}{3 2 6} (1 6 8)
$$
$$
\frac {8 3 8 8 6 0 8 L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4} \tau}{\bar {L} ^ {3} \alpha^ {2} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 3 8 8 6 0 8 L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {3} \alpha^ {2} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 3 8 8 6 0 8 L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {3}} \leq \frac {1}{3 2 6} \tag {171}
$$
$$
\frac {1 6 7 7 7 2 1 6 L ^ {3} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {5} \alpha^ {4} \beta n \tau^ {2}} \leq \frac {1}{3 2 6} (1 7 2) \quad \frac {1 6 7 7 7 2 1 6 L ^ {3} \hat {L} ^ {2} \omega p ^ {4}}{\bar {L} ^ {5} \alpha^ {4} \beta^ {2} n \tau^ {2}} \leq \frac {1}{3 2 6} (1 7 3) \quad \frac {1 6 7 7 7 2 1 6 L \hat {L} ^ {4} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {5} \alpha^ {4} \beta n ^ {2}} \leq \frac {1}{3 2 6} (1 7 4)
$$
$$
\frac {1 6 7 7 7 2 1 6 L \hat {L} ^ {4} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {5} \alpha^ {4} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 6 7 7 7 2 1 6 L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {3} \alpha^ {2} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {3 3 5 5 4 4 3 2 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \tag {177}
$$
$$
\frac {3 4 6 0 3 0 0 8 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {6 7 1 0 8 8 6 4 L ^ {4} \hat {L} ^ {2} \omega p ^ {2}}{\bar {L} ^ {6} \alpha^ {5} \beta n \tau} \leq \frac {1}{3 2 6} (1 7 9) \quad \frac {6 7 1 0 8 8 6 4 L ^ {4} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {6} \alpha^ {5} \beta^ {2} n \tau} \leq \frac {1}{3 2 6} (1 8 0)
$$
$$
\frac {6 7 1 0 8 8 6 4 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L ^ {4} \hat {L} ^ {2} \omega p ^ {3}}{\bar {L} ^ {6} \alpha^ {5} \beta n \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L ^ {4} \hat {L} ^ {2} \omega p ^ {4}}{\bar {L} ^ {6} \alpha^ {5} \beta^ {2} n \tau^ {2}} \leq \frac {1}{3 2 6} \tag {183}
$$
$$
\frac {1 3 4 2 1 7 7 2 8 L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L ^ {3} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \tag {186}
$$
$$
\frac {1 3 4 2 1 7 7 2 8 L ^ {2} \hat {L} ^ {4} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {5} \beta n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L ^ {2} \hat {L} ^ {4} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {5} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 4 2 6 0 6 3 3 6 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \tag {189}
$$
$$
\frac {2 6 8 4 3 5 4 5 6 L \hat {L} ^ {4} \omega^ {2} p ^ {4} \tau}{\bar {L} ^ {5} \alpha^ {4} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 6 8 4 3 5 4 5 6 L \hat {L} ^ {4} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {5} \alpha^ {4} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 6 8 4 3 5 4 5 6 L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \tag {190}
$$
$$
\frac {2 6 8 4 3 5 4 5 6 L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {2 6 8 4 3 5 4 5 6 L ^ {3} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 7 6 8 2 4 0 6 4 L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \tag {195}
$$
$$
\frac {5 3 6 8 7 0 9 1 2 L \hat {L} ^ {4} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {5} \alpha^ {4} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {5 3 6 8 7 0 9 1 2 L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {5 3 6 8 7 0 9 1 2 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \tag {198}
$$
$$
\frac {5 3 6 8 7 0 9 1 2 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {2}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 0 7 3 7 4 1 8 2 4 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 0 7 3 7 4 1 8 2 4 L ^ {2} \hat {L} ^ {4} \omega^ {2} p ^ {4} \tau}{\bar {L} ^ {6} \alpha^ {5} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \tag {201}
$$
$$
\frac {1 0 7 3 7 4 1 8 2 4 L ^ {2} \hat {L} ^ {4} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {5} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {2}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \tag {204}
$$
$$
\frac {2 1 4 7 4 8 3 6 4 8 L ^ {2} \hat {L} ^ {4} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {5} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L _ {\max } \hat {L} ^ {6} \omega^ {4} p ^ {5} \tau}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {4}} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L _ {\max } \hat {L} ^ {6} \omega^ {4} p ^ {3} \tau}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {4}} \leq \frac {1}{3 2 6} \tag {207}
$$
$$
\frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {210}
$$
$$
\frac {8 5 8 9 9 3 4 5 9 2 L \hat {L} ^ {6} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L \hat {L} ^ {6} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L _ {\max } \hat {L} ^ {6} \omega^ {4} p ^ {4} \tau}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {4}} \leq \frac {1}{3 2 6} \tag {213}
$$
$$
\frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {6}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {4} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {2} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {216}
$$
$$
\frac {1 7 1 7 9 8 6 9 1 8 4 L \hat {L} ^ {6} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {7} \alpha^ {5} \beta^ {3} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {219}
$$
$$
\frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {3}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \tag {222}
$$
$$
\frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {6}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {4} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {4}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {2} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {225}
$$
$$
\frac {6 8 7 1 9 4 7 6 7 3 6 L ^ {2} \hat {L} ^ {6} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {6 8 7 1 9 4 7 6 7 3 6 L ^ {4} \hat {L} ^ {4} \omega^ {2} p ^ {5}}{\bar {L} ^ {8} \alpha^ {6} \beta^ {3} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 0 4 8 5 7 6 L L _ {\max } \hat {L} ^ {2} \omega^ {2} p \tau}{\bar {L} ^ {4} \alpha^ {3} \beta n ^ {2}} \leq \frac {1}{3 2 6} \tag {228}
$$
$$
\frac {4 1 9 4 3 0 4 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {4 1 9 4 3 0 4 L L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {4 1 9 4 3 0 4 L ^ {2} L _ {\max} \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {231}
$$
$$
\frac {8 3 8 8 6 0 8 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {5} \alpha^ {3} \beta n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {3 3 5 5 4 4 3 2 L L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {4} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {3 3 5 5 4 4 3 2 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {2}}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {234}
$$
$$
\frac {3 4 6 0 3 0 0 8 L L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {2} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {2} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {6 7 1 0 8 8 6 4 L L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3} \tau}{\bar {L} ^ {4} \alpha^ {3} \beta^ {3} n ^ {2}} \leq \frac {1}{3 2 6} \quad \frac {6 7 1 0 8 8 6 4 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {3}} \leq \frac {1}{3 2 6} \tag {237}
$$
$$
\frac {6 7 1 0 8 8 6 4 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {6} \alpha^ {4} \beta n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 3 4 2 1 7 7 2 8 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {1 3 8 4 1 2 0 3 2 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {240}
$$
$$
\frac {2 6 8 4 3 5 4 5 6 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {6}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {4} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 6 8 4 3 5 4 5 6 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {2 7 6 8 2 4 0 6 4 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {2} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {243}
$$
$$
\frac {5 3 6 8 7 0 9 1 2 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {5 3 6 8 7 0 9 1 2 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {2} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {5 3 6 8 7 0 9 1 2 L ^ {2} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {5} \alpha^ {3} \beta^ {3} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {246}
$$
$$
\frac {5 3 6 8 7 0 9 1 2 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {5 7 0 4 2 5 3 4 4 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {3}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {2} \tau} \leq \frac {1}{3 2 6} \quad \frac {1 0 7 3 7 4 1 8 2 4 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {3}} \leq \frac {1}{3 2 6} \tag {249}
$$
$$
\frac {1 0 7 3 7 4 1 8 2 4 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {6}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {4} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {1 0 7 3 7 4 1 8 2 4 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {2} \tau} \leq \frac {1}{3 2 6} \tag {252}
$$
$$
\frac {1 1 4 0 8 5 0 6 8 8 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {3}} \leq \frac {1}{3 2 6} \quad \frac {1 1 4 0 8 5 0 6 8 8 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {4}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {2} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4} \tau}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {3}} \leq \frac {1}{3 2 6} \tag {255}
$$
$$
\frac {2 1 4 7 4 8 3 6 4 8 L ^ {3} L _ {\max } \hat {L} ^ {2} \omega^ {2} p ^ {5}}{\bar {L} ^ {6} \alpha^ {4} \beta^ {3} n ^ {2} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {3} \tau} \leq \frac {1}{3 2 6} \quad \frac {2 1 4 7 4 8 3 6 4 8 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {3} \tau} \leq \frac {1}{3 2 6} \tag {258}
$$
$$
\frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {6}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {4} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {3} \tau} \leq \frac {1}{3 2 6} \quad \frac {4 2 9 4 9 6 7 2 9 6 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {2} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {261}
$$
$$
\frac {8 5 8 9 9 3 4 5 9 2 L ^ {2} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {7} \alpha^ {4} \beta^ {3} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {3} \tau} \leq \frac {1}{3 2 6} \quad \frac {8 5 8 9 9 3 4 5 9 2 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {3}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {3} \tau} \leq \frac {1}{3 2 6}
$$
$$
\frac {1 7 1 7 9 8 6 9 1 8 4 L L _ {\max} \hat {L} ^ {6} \omega^ {4} p ^ {5} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {4}} \leq \frac {1}{3 2 6} \quad \frac {1 7 1 7 9 8 6 9 1 8 4 L L _ {\max} \hat {L} ^ {6} \omega^ {4} p ^ {3} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {4}} \leq \frac {1}{3 2 6} \quad \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\max} \hat {L} ^ {4} \omega^ {3} p ^ {6}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {4} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6}
$$
$$
\frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3} \tau} \leq \frac {1}{3 2 6} \quad \frac {1 7 1 7 9 8 6 9 1 8 4 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {4}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {2} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6} \quad \frac {3 4 3 5 9 7 3 8 3 6 8 L L _ {\max } \hat {L} ^ {6} \omega^ {4} p ^ {4} \tau}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {4}} \leq \frac {1}{3 2 6}
$$
$$
\frac {3 4 3 5 9 7 3 8 3 6 8 L ^ {3} L _ {\max } \hat {L} ^ {4} \omega^ {3} p ^ {5}}{\bar {L} ^ {8} \alpha^ {5} \beta^ {3} n ^ {3} \tau^ {2}} \leq \frac {1}{3 2 6} \tag {271}
$$
M Symbolically Computed Expression (92)