K13n1343
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Polynomial invariants
| Jones polynomial | Data:K13n1343/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-26 t+33-26 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1343/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-8 a^2 z^4-3 z^4 a^{-2} +9 z^4+3 a^4 z^2-10 a^2 z^2-3 z^2 a^{-2} +6 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+5 a^3 z^9+5 a z^9+z^9 a^{-1} +z^9 a^{-3} +5 a^4 z^8-4 z^8 a^{-2} -9 z^8+3 a^5 z^7-10 a^3 z^7-13 a z^7+3 z^7 a^{-1} +3 z^7 a^{-3} +a^6 z^6-13 a^4 z^6-14 a^2 z^6+14 z^6 a^{-2} +5 z^6 a^{-4} +9 z^6-8 a^5 z^5+5 a^3 z^5+10 a z^5-10 z^5 a^{-1} -6 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+11 a^4 z^4+23 a^2 z^4-18 z^4 a^{-2} -8 z^4 a^{-4} -z^4+5 a^5 z^3-a^3 z^3+3 a z^3+11 z^3 a^{-1} +z^3 a^{-3} -z^3 a^{-5} +2 a^6 z^2-7 a^4 z^2-15 a^2 z^2+4 z^2 a^{-2} -2 z^2-a^5 z-a^3 z-3 a z-3 z a^{-1} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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