K13n36
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Polynomial invariants
| Jones polynomial | Data:K13n36/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+6 t-11+6 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n36/Conway Polynomial |
| Determinant | 19 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+2 z^4 a^6+7 z^2 a^6+4 a^6-z^6 a^4-5 z^4 a^4-5 z^2 a^4-2 a^4-z^4 a^2+a^2-z^4-z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+4 a^6 z^{10}+2 a^4 z^{10}+a^9 z^9-4 a^7 z^9-5 a^5 z^9+a^3 z^9+a z^9-14 a^8 z^8-30 a^6 z^8-16 a^4 z^8+2 a^2 z^8+2 z^8-7 a^9 z^7-7 a^7 z^7-4 a^5 z^7-7 a^3 z^7-a z^7+2 z^7 a^{-1} +31 a^8 z^6+67 a^6 z^6+37 a^4 z^6-5 a^2 z^6+z^6 a^{-2} -5 z^6+16 a^9 z^5+36 a^7 z^5+33 a^5 z^5+16 a^3 z^5-4 a z^5-7 z^5 a^{-1} -28 a^8 z^4-57 a^6 z^4-32 a^4 z^4-4 z^4 a^{-2} -z^4-15 a^9 z^3-35 a^7 z^3-31 a^5 z^3-15 a^3 z^3+2 a z^3+6 z^3 a^{-1} +11 a^8 z^2+22 a^6 z^2+13 a^4 z^2+2 a^2 z^2+4 z^2 a^{-2} +4 z^2+5 a^9 z+10 a^7 z+9 a^5 z+5 a^3 z-a z-2 z a^{-1} -2 a^8-4 a^6-2 a^4-a^2- a^{-2} -1 }[/math] |
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