Av(12345, 12435, 13245, 13425, 14235, 14325)
This specification was found using the strategy pack "Col Placements Tracked Fusion Tracked Component Fusion Req Corrob Symmetries" and has 169 rules.
Finding the specification took 69490 seconds.
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\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right) F_{99}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{4}\! \left(x , 1\right)\\
F_{4}\! \left(x , y_{0}\right) &= F_{1}\! \left(x \right)+F_{167}\! \left(x , y_{0}\right)+F_{5}\! \left(x , y_{0}\right)\\
F_{5}\! \left(x , y_{0}\right) &= F_{14}\! \left(x , y_{0}\right) F_{6}\! \left(x , y_{0}\right)\\
F_{6}\! \left(x , y_{0}\right) &= F_{7}\! \left(x , y_{0}, 1\right)\\
F_{7}\! \left(x , y_{0}, y_{1}\right) &= F_{8}\! \left(x , y_{0}, y_{0} y_{1}\right)\\
F_{8}\! \left(x , y_{0}, y_{1}\right) &= F_{1}\! \left(x \right)+F_{15}\! \left(x , y_{0}, y_{1}\right)+F_{158}\! \left(x , y_{0}, y_{1}\right)+F_{9}\! \left(x , y_{0}, y_{1}\right)\\
F_{9}\! \left(x , y_{0}, y_{1}\right) &= F_{10}\! \left(x , y_{0}, y_{1}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{10}\! \left(x , y_{0}, y_{1}\right) &= F_{11}\! \left(x , y_{0}, 1, y_{1}\right)\\
F_{11}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{12}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)\\
F_{12}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{1}\! \left(x \right)+F_{13}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{15}\! \left(x , y_{1}, y_{2}\right)+F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{9}\! \left(x , y_{1}, y_{2}\right)\\
F_{13}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{12}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{14}\! \left(x , y_{0}\right) &= y_{0} x\\
F_{15}\! \left(x , y_{0}, y_{1}\right) &= F_{14}\! \left(x , y_{1}\right) F_{16}\! \left(x , y_{0}, y_{1}\right)\\
F_{16}\! \left(x , y_{0}, y_{1}\right) &= F_{17}\! \left(x , y_{0}, 1, y_{1}\right)\\
F_{17}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{12}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)\\
F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{19}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{99}\! \left(x \right)\\
F_{19}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)\\
F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{1}\! \left(x \right)+F_{153}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{156}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{21}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{22}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{27}\! \left(x , y_{1}, y_{2}, y_{3}\right)\\
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{14}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{24}\! \left(x , y_{0}, 1, y_{1}, y_{2}\right)\\
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{25}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}, y_{3}\right)\\
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{1}\! \left(x \right)+F_{126}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{128}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{22}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{27}\! \left(x , y_{1}, y_{2}, y_{3}\right)\\
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{14}\! \left(x , y_{1}\right) F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{29}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)\\
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{30}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}, y_{3}\right)\\
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{32}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{34}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{37}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{14}\! \left(x , y_{0}\right) F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{10}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{10}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{34}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{14}\! \left(x , y_{1}\right) F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{36}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{36}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{12}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)\\
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{3}\right) F_{38}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{39}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{39}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{39}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{F_{17}\! \left(x , y_{0}, 1, y_{2}\right) y_{2}-F_{17}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{1}}{-y_{2}+y_{1}}\\
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{41}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)\\
F_{41}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)\\
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{1}\! \left(x \right)+F_{124}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{43}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{44}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{46}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{45}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{23}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{23}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{46}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{1}\right) F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{29}\! \left(x , y_{0}, y_{1}, 1, y_{3}\right) y_{1}-F_{29}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{3}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{50}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{50}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{F_{51}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{2}-F_{51}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}, y_{3}\right) y_{1}}{-y_{2}+y_{1}}\\
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{30}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}, y_{3}\right)\\
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{4}\right) F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= -\frac{F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, 1, y_{4}\right) y_{4}-F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, \frac{y_{3}}{y_{4}}, y_{4}\right) y_{3}}{-y_{4}+y_{3}}\\
F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3} y_{4}, y_{4}\right)\\
F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{1}\! \left(x \right)+F_{56}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{57}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{61}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{64}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{69}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{73}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{0}\right) F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{58}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{58}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{59}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{0}-F_{59}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{59}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{60}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}, y_{3}\right)\\
F_{60}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{12}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{12}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{61}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{1}\right) F_{62}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{62}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{F_{63}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{63}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{63}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{60}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)\\
F_{64}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{3}\right) F_{65}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{65}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{66}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{66}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{66}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{67}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{67}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{F_{68}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{68}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{12}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)\\
F_{69}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{4}\right) F_{70}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{70}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{71}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{71}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{72}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{72}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{16}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{16}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)\\
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{1}\! \left(x \right)+F_{100}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{75}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{76}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{81}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{85}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{90}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{95}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{75}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{0}\right) F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{77}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{78}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{78}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{79}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{79}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{80}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)\\
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)\\
F_{81}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{1}\right) F_{82}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{82}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{F_{83}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{83}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{83}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{84}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)\\
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{80}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{80}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{85}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{3}\right) F_{86}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{87}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{87}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{88}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{88}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{F_{89}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{89}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{80}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)\\
F_{90}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{4}\right) F_{91}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{91}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{92}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{92}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{92}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{93}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{93}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{94}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{94}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{94}\! \left(x , y_{0}, y_{1}\right) &= F_{28}\! \left(x , y_{0}, y_{1}, 1\right)\\
F_{95}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{96}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)\\
F_{96}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}-F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{4}\right) y_{4}}{-y_{4}+y_{3}}\\
F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{-F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}+F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)}{-1+y_{3}}\\
F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)\\
F_{99}\! \left(x \right) &= x\\
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{101}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)\\
F_{101}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, 1\right)\\
F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= -\frac{-F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{5}+F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, 1\right)}{-1+y_{5}}\\
F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{1}\! \left(x \right)+F_{104}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{105}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{108}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{112}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{117}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{121}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{123}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)\\
F_{104}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{105}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{106}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{106}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{107}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{107}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{107}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{24}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{0}-F_{24}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{108}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{109}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{14}\! \left(x , y_{1}\right)\\
F_{109}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= -\frac{F_{110}\! \left(x , 1, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}-F_{110}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{111}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{111}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{25}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{25}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{112}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{113}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{3}\right)\\
F_{113}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= \frac{F_{114}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{0}-F_{114}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{114}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{115}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{115}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{115}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{F_{116}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{116}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{116}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{25}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)\\
F_{117}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{118}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{4}\right)\\
F_{118}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= \frac{F_{119}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{0}-F_{119}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{119}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{120}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{120}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{28}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{28}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{122}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{5}\right)\\
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= \frac{F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{5}\right) y_{3}-F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{4}, y_{5}\right) y_{4}}{-y_{4}+y_{3}}\\
F_{123}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) &= F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{99}\! \left(x \right)\\
F_{124}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{125}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)\\
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= -\frac{-F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{4}+F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)}{-1+y_{4}}\\
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{127}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{3}\right)\\
F_{127}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{39}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{39}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)\\
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{1}\! \left(x \right)+F_{130}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{131}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{133}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{135}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{140}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{141}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{130}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{0}\right)\\
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{-F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{23}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}\\
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{1}\right)\\
F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{-F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{28}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}\\
F_{135}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{136}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{3}\right)\\
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{137}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{137}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{F_{138}\! \left(x , y_{0}, 1, y_{2}\right) y_{2}-F_{138}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{1}}{-y_{2}+y_{1}}\\
F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{139}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)\\
F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)\\
F_{140}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)\\
F_{141}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{142}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)\\
F_{142}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)\\
F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= -\frac{-F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{4}+F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)}{-1+y_{4}}\\
F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{1}\! \left(x \right)+F_{145}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{146}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{148}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{150}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{152}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{145}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{0}\right) F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{146}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{0}\right) F_{147}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{147}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{23}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}\\
F_{148}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{1}\right) F_{149}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{149}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= \frac{F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{28}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}\\
F_{150}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{14}\! \left(x , y_{3}\right) F_{151}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)\\
F_{151}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= \frac{F_{50}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{50}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}\\
F_{152}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)\\
F_{153}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{14}\! \left(x , y_{3}\right) F_{154}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)\\
F_{154}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{155}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)\\
F_{155}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) &= F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{3} y_{4}\right)\\
F_{156}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= F_{157}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)\\
F_{157}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) &= -\frac{-F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}+F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)}{-1+y_{3}}\\
F_{158}\! \left(x , y_{0}, y_{1}\right) &= F_{159}\! \left(x , y_{0}, y_{1}\right) F_{99}\! \left(x \right)\\
F_{159}\! \left(x , y_{0}, y_{1}\right) &= F_{160}\! \left(x , y_{0}, y_{1}, 1\right)\\
F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{1}\! \left(x \right)+F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{165}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{14}\! \left(x , y_{2}\right) F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right)\\
F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= \frac{F_{163}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{163}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}\\
F_{163}\! \left(x , y_{0}, y_{1}\right) &= -\frac{F_{164}\! \left(x , 1, y_{1}\right) y_{1}-F_{164}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}\\
F_{164}\! \left(x , y_{0}, y_{1}\right) &= F_{8}\! \left(x , y_{0} y_{1}, y_{1}\right)\\
F_{165}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= F_{166}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{99}\! \left(x \right)\\
F_{166}\! \left(x , y_{0}, y_{1}, y_{2}\right) &= -\frac{-F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{160}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}\\
F_{167}\! \left(x , y_{0}\right) &= F_{168}\! \left(x , y_{0}\right) F_{99}\! \left(x \right)\\
F_{168}\! \left(x , y_{0}\right) &= -\frac{-y_{0} F_{4}\! \left(x , y_{0}\right)+F_{4}\! \left(x , 1\right)}{-1+y_{0}}\\
\end{align*}\)