K13n2791
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Polynomial invariants
| Jones polynomial | Data:K13n2791/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+17 t-21+17 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2791/Conway Polynomial |
| Determinant | 75 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+3 z^4 a^6+3 z^2 a^6+a^6+z^6 a^4+3 z^4 a^4+3 z^2 a^4-z^4 a^2-z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+12 z^4 a^{10}-4 z^2 a^{10}+4 z^9 a^9-15 z^7 a^9+13 z^5 a^9-4 z^3 a^9+3 z^{10} a^8-9 z^8 a^8+2 z^6 a^8+3 z^4 a^8-a^8+z^{11} a^7+z^9 a^7-14 z^7 a^7+15 z^5 a^7-3 z^3 a^7-z a^7+4 z^{10} a^6-15 z^8 a^6+16 z^6 a^6-6 z^4 a^6+3 z^2 a^6-a^6+z^{11} a^5-3 z^9 a^5+4 z^7 a^5-7 z^5 a^5+12 z^3 a^5-4 z a^5+z^{10} a^4-3 z^8 a^4+2 z^6 a^4+6 z^4 a^4-4 z^2 a^4+2 z^7 a^3-5 z^5 a^3+8 z^3 a^3-3 z a^3+3 z^4 a^2-3 z^2 a^2-a^2+z^3 a-z a }[/math] |
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