K13n1116
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Polynomial invariants
| Jones polynomial | Data:K13n1116/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+26 t-29+26 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1116/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+8 a^4 z^4-9 a^2 z^4+2 z^4-3 a^6 z^2+10 a^4 z^2-6 a^2 z^2+z^2 a^{-2} -2 z^2-2 a^6+4 a^4+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+5 a^5 z^9+5 a^3 z^9+a z^9+z^9 a^{-1} +6 a^6 z^8+a^4 z^8-10 a^2 z^8-5 z^8+5 a^7 z^7-5 a^5 z^7-13 a^3 z^7-2 a z^7+z^7 a^{-1} +3 a^8 z^6-9 a^6 z^6-12 a^4 z^6+6 a^2 z^6+3 z^6 a^{-2} +9 z^6+a^9 z^5-7 a^7 z^5+a^5 z^5+8 a^3 z^5-12 a z^5-11 z^5 a^{-1} -5 a^8 z^4+8 a^6 z^4+21 a^4 z^4-3 a^2 z^4-10 z^4 a^{-2} -21 z^4-2 a^9 z^3+2 a^7 z^3+2 a^5 z^3+5 a^3 z^3+18 a z^3+11 z^3 a^{-1} +2 a^8 z^2-7 a^6 z^2-15 a^4 z^2+3 a^2 z^2+8 z^2 a^{-2} +17 z^2+a^9 z-2 a^5 z-4 a^3 z-7 a z-4 z a^{-1} +2 a^6+4 a^4-2 a^{-2} -3 }[/math] |
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