K13n2715
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Polynomial invariants
| Jones polynomial | Data:K13n2715/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-15 t+23-15 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2715/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} +2 z^4+a^4 z^2-5 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +3 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a^3 z^9+a z^9+4 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8+3 z^8 a^{-2} +6 z^8 a^{-4} -4 z^8-8 a^3 z^7-9 a z^7-13 z^7 a^{-1} -8 z^7 a^{-3} +4 z^7 a^{-5} -7 a^4 z^6-6 a^2 z^6-12 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +6 z^6+17 a^3 z^5+25 a z^5+18 z^5 a^{-1} -10 z^5 a^{-5} +14 a^4 z^4+21 a^2 z^4+7 z^4 a^{-2} +7 z^4 a^{-4} -2 z^4 a^{-6} +5 z^4-12 a^3 z^3-16 a z^3-9 z^3 a^{-1} -z^3 a^{-3} +4 z^3 a^{-5} -10 a^4 z^2-16 a^2 z^2-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} -6 z^2+3 a^3 z+3 a z+z a^{-1} +z a^{-3} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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