K13n1805
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Polynomial invariants
| Jones polynomial | Data:K13n1805/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-3 t+7-3 t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1805/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+2 z^2 a^4+2 a^4-2 z^2 a^2-2 a^2+z^6+5 z^4+6 z^2+3-z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^9+z^9 a^{-1} +2 a^6 z^8+3 a^4 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-2 a^5 z^7+2 a^3 z^7-a z^7-5 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6-15 a^4 z^6-2 a^2 z^6-11 z^6 a^{-2} -8 z^6-5 a^7 z^5-8 a^5 z^5-11 a^3 z^5+a z^5+4 z^5 a^{-1} -5 z^5 a^{-3} +14 a^6 z^4+19 a^4 z^4+4 a^2 z^4+16 z^4 a^{-2} +15 z^4+7 a^7 z^3+15 a^5 z^3+11 a^3 z^3-a z^3+2 z^3 a^{-1} +6 z^3 a^{-3} -7 a^6 z^2-9 a^4 z^2-6 a^2 z^2-7 z^2 a^{-2} -11 z^2-3 a^7 z-5 a^5 z-2 a^3 z-z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math] |
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