K13n2582
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Polynomial invariants
| Jones polynomial | Data:K13n2582/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2582/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-2 a^6+z^6 a^4+z^4 a^4+z^2 a^4+2 a^4+z^6 a^2+z^4 a^2-z^2 a^2-2 a^2-z^4+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+5 a^7 z^9+5 a^5 z^9+a^3 z^9+a z^9+5 a^8 z^8+a^6 z^8-8 a^4 z^8-4 a^2 z^8+3 a^9 z^7-8 a^7 z^7-8 a^5 z^7+6 a^3 z^7+3 a z^7+a^{10} z^6-12 a^8 z^6-12 a^6 z^6+13 a^4 z^6+17 a^2 z^6+5 z^6-8 a^9 z^5-14 a^3 z^5-5 a z^5+z^5 a^{-1} -3 a^{10} z^4+9 a^8 z^4+14 a^6 z^4-12 a^4 z^4-22 a^2 z^4-8 z^4+6 a^9 z^3+5 a^7 z^3+7 a^5 z^3+11 a^3 z^3+2 a z^3-z^3 a^{-1} +2 a^{10} z^2-4 a^8 z^2-8 a^6 z^2+a^4 z^2+4 a^2 z^2+z^2-2 a^9 z-3 a^7 z-3 a^5 z-3 a^3 z-a z+a^8+2 a^6+2 a^4+2 a^2+2 }[/math] |
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