K13n2931
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Polynomial invariants
| Jones polynomial | Data:K13n2931/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:K13n2931/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-z^2 a^6+2 a^6+z^6 a^4-4 z^2 a^4-4 a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+2 a^2-z^4-z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+6 a^4 z^{10}+2 a^2 z^{10}+7 a^7 z^9+8 a^5 z^9+2 a^3 z^9+a z^9+7 a^8 z^8-2 a^6 z^8-15 a^4 z^8-6 a^2 z^8+4 a^9 z^7-14 a^7 z^7-25 a^5 z^7-7 a^3 z^7+a^{10} z^6-16 a^8 z^6-8 a^6 z^6+24 a^4 z^6+19 a^2 z^6+4 z^6-9 a^9 z^5+7 a^7 z^5+29 a^5 z^5+13 a^3 z^5+a z^5+z^5 a^{-1} -2 a^{10} z^4+8 a^8 z^4+3 a^6 z^4-23 a^4 z^4-25 a^2 z^4-9 z^4+4 a^9 z^3-6 a^7 z^3-12 a^5 z^3-2 a^3 z^3-2 a z^3-2 z^3 a^{-1} +a^{10} z^2-2 a^8 z^2+4 a^6 z^2+18 a^4 z^2+15 a^2 z^2+4 z^2+2 a^7 z-4 a^3 z-2 a z-2 a^6-4 a^4-2 a^2+1 }[/math] |
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