K13n4357
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Polynomial invariants
| Jones polynomial | Data:K13n4357/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-32 t+43-32 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4357/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+5 z^2 a^4+2 a^4-2 z^6 a^2-6 z^4 a^2-7 z^2 a^2-2 a^2+4 z^4+7 z^2+3-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+10 a^2 z^{10}+4 z^{10}+7 a^5 z^9+8 a^3 z^9+3 a z^9+2 z^9 a^{-1} +4 a^6 z^8-11 a^4 z^8-27 a^2 z^8-12 z^8+a^7 z^7-20 a^5 z^7-43 a^3 z^7-28 a z^7-6 z^7 a^{-1} -12 a^6 z^6-12 a^4 z^6+9 a^2 z^6+z^6 a^{-2} +10 z^6-3 a^7 z^5+12 a^5 z^5+46 a^3 z^5+44 a z^5+13 z^5 a^{-1} +10 a^6 z^4+20 a^4 z^4+21 a^2 z^4+4 z^4 a^{-2} +15 z^4+3 a^7 z^3-4 a^5 z^3-21 a^3 z^3-19 a z^3-4 z^3 a^{-1} +z^3 a^{-3} -4 a^6 z^2-10 a^4 z^2-15 a^2 z^2-5 z^2 a^{-2} -14 z^2-a^7 z+a^5 z+4 a^3 z+2 a z-z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math] |
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