K13n2653
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Polynomial invariants
| Jones polynomial | Data:K13n2653/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-39 t+55-39 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2653/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+z^2 a^4-z^6 a^2+z^2 a^2+a^2-z^6-z^4-2 z^2-1+z^4 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+11 a^2 z^{10}+5 z^{10}+7 a^5 z^9+10 a^3 z^9+7 a z^9+4 z^9 a^{-1} +4 a^6 z^8-11 a^4 z^8-24 a^2 z^8+z^8 a^{-2} -8 z^8+a^7 z^7-22 a^5 z^7-44 a^3 z^7-23 a z^7-2 z^7 a^{-1} -13 a^6 z^6-8 a^4 z^6+10 a^2 z^6+8 z^6 a^{-2} +13 z^6-3 a^7 z^5+20 a^5 z^5+44 a^3 z^5+20 a z^5+4 z^5 a^{-1} +5 z^5 a^{-3} +12 a^6 z^4+17 a^4 z^4+a^2 z^4-7 z^4 a^{-2} +z^4 a^{-4} -12 z^4+2 a^7 z^3-8 a^5 z^3-17 a^3 z^3-8 a z^3-3 z^3 a^{-1} -2 z^3 a^{-3} -4 a^6 z^2-6 a^4 z^2+a^2 z^2+z^2 a^{-2} +4 z^2+a^5 z+3 a^3 z+2 a z-a^2- a^{-2} -1 }[/math] |
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