K13n4102
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Polynomial invariants
| Jones polynomial | Data:K13n4102/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+35 t-39+35 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4102/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +2 z^6 a^{-4} +z^6-5 z^4 a^{-2} +6 z^4 a^{-4} -z^4 a^{-6} +z^4+a^2 z^2-z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} -4 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10}+a z^9+10 z^9 a^{-3} +11 z^9 a^{-5} -26 z^8 a^{-2} -8 z^8 a^{-4} +11 z^8 a^{-6} -7 z^8+3 a z^7-5 z^7 a^{-1} -37 z^7 a^{-3} -21 z^7 a^{-5} +8 z^7 a^{-7} +3 a^2 z^6+27 z^6 a^{-2} -3 z^6 a^{-4} -18 z^6 a^{-6} +4 z^6 a^{-8} +11 z^6-14 a z^5+45 z^5 a^{-3} +19 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -9 a^2 z^4-16 z^4 a^{-2} +12 z^4 a^{-4} +10 z^4 a^{-6} -5 z^4 a^{-8} -22 z^4+9 a z^3-21 z^3 a^{-3} -8 z^3 a^{-5} +3 z^3 a^{-7} -z^3 a^{-9} +7 a^2 z^2+7 z^2 a^{-2} -5 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +16 z^2-a z+z a^{-1} +3 z a^{-3} +z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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