K13n4210
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Polynomial invariants
| Jones polynomial | Data:K13n4210/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-18 t^2+42 t-53+42 t^{-1} -18 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4210/Conway Polynomial |
| Determinant | 179 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-2 a^6+2 z^6 a^4+5 z^4 a^4+6 z^2 a^4+3 a^4+z^6 a^2-z^4 a^2-6 z^2 a^2-4 a^2-z^4+z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+11 a^4 z^{10}+4 a^2 z^{10}+10 a^7 z^9+13 a^5 z^9+5 a^3 z^9+2 a z^9+8 a^8 z^8-7 a^6 z^8-22 a^4 z^8-7 a^2 z^8+4 a^9 z^7-22 a^7 z^7-44 a^5 z^7-16 a^3 z^7+2 a z^7+a^{10} z^6-17 a^8 z^6-10 a^6 z^6+15 a^4 z^6+13 a^2 z^6+6 z^6-8 a^9 z^5+18 a^7 z^5+50 a^5 z^5+20 a^3 z^5-3 a z^5+z^5 a^{-1} -2 a^{10} z^4+10 a^8 z^4+17 a^6 z^4+5 a^4 z^4-7 a^2 z^4-7 z^4+3 a^9 z^3-12 a^7 z^3-20 a^5 z^3-6 a^3 z^3-2 a z^3-z^3 a^{-1} +a^{10} z^2-5 a^8 z^2-9 a^6 z^2-7 a^4 z^2-7 a^2 z^2-3 z^2+3 a^7 z+2 a^5 z-2 a^3 z-a z+a^8+2 a^6+3 a^4+4 a^2+3 }[/math] |
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