K13n2648
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Polynomial invariants
| Jones polynomial | Data:K13n2648/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2648/Conway Polynomial |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+3 z^2 a^6+2 a^6-z^4 a^4-3 z^2 a^4-3 a^4+z^6 a^2+4 z^4 a^2+6 z^2 a^2+4 a^2-z^4-2 z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+3 a^6 z^{10}+a^4 z^{10}+a^9 z^9-6 a^7 z^9-7 a^5 z^9-15 a^8 z^8-24 a^6 z^8-8 a^4 z^8+a^2 z^8-7 a^9 z^7+5 a^7 z^7+12 a^5 z^7+3 a^3 z^7+3 a z^7+35 a^8 z^6+57 a^6 z^6+23 a^4 z^6+4 a^2 z^6+3 z^6+15 a^9 z^5+13 a^7 z^5-a^5 z^5-4 a^3 z^5-4 a z^5+z^5 a^{-1} -31 a^8 z^4-48 a^6 z^4-25 a^4 z^4-15 a^2 z^4-7 z^4-12 a^9 z^3-16 a^7 z^3-3 a^5 z^3-a^3 z^3-4 a z^3-2 z^3 a^{-1} +9 a^8 z^2+16 a^6 z^2+14 a^4 z^2+11 a^2 z^2+4 z^2+3 a^9 z+4 a^7 z+2 a^5 z+2 a^3 z+2 a z+z a^{-1} -a^8-2 a^6-3 a^4-4 a^2-1 }[/math] |
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