K13n2702
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Polynomial invariants
| Jones polynomial | Data:K13n2702/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+15 t-17+15 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2702/Conway Polynomial |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-2 z^4 a^{-2} +3 z^4-3 a^4 z^2+6 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +2 z^2-2 a^4+4 a^2-2 a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-2 a^3 z^9+2 a z^9+5 z^9 a^{-1} -13 a^4 z^8-26 a^2 z^8+5 z^8 a^{-2} -8 z^8-7 a^5 z^7-12 a^3 z^7-27 a z^7-19 z^7 a^{-1} +3 z^7 a^{-3} +29 a^4 z^6+41 a^2 z^6-18 z^6 a^{-2} +z^6 a^{-4} -7 z^6+17 a^5 z^5+37 a^3 z^5+46 a z^5+19 z^5 a^{-1} -7 z^5 a^{-3} -27 a^4 z^4-26 a^2 z^4+20 z^4 a^{-2} +z^4 a^{-4} +20 z^4-16 a^5 z^3-31 a^3 z^3-26 a z^3-10 z^3 a^{-1} +4 z^3 a^{-3} +3 z^3 a^{-5} +11 a^4 z^2+13 a^2 z^2-13 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -8 z^2+4 a^5 z+8 a^3 z+6 a z+2 z a^{-1} -z a^{-3} -z a^{-5} -2 a^4-4 a^2+2 a^{-2} + a^{-4} }[/math] |
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