K13n4286
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Polynomial invariants
| Jones polynomial | Data:K13n4286/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t-9+6 t^{-1} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4286/Conway Polynomial |
| Determinant | 19 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-5 z^4 a^4-5 z^2 a^4-a^4-z^4 a^2-z^2 a^2-z^4-z^2+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+2 a^5 z^9+a^3 z^9+a z^9+a^8 z^8-6 a^6 z^8-8 a^4 z^8+a^2 z^8+2 z^8-13 a^7 z^7-16 a^5 z^7-8 a^3 z^7-3 a z^7+2 z^7 a^{-1} -6 a^8 z^6+7 a^6 z^6+18 a^4 z^6-2 a^2 z^6+z^6 a^{-2} -6 z^6+24 a^7 z^5+34 a^5 z^5+21 a^3 z^5+4 a z^5-7 z^5 a^{-1} +10 a^8 z^4+a^6 z^4-15 a^4 z^4-4 z^4 a^{-2} +2 z^4-15 a^7 z^3-23 a^5 z^3-21 a^3 z^3-8 a z^3+5 z^3 a^{-1} -5 a^8 z^2+a^6 z^2+7 a^4 z^2-2 a^2 z^2+4 z^2 a^{-2} +z^2+3 a^7 z+6 a^5 z+6 a^3 z+3 a z-a^6-a^4- a^{-2} }[/math] |
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