K13n2683
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Polynomial invariants
| Jones polynomial | Data:K13n2683/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+6 t-5+6 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2683/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-a^4 z^4+4 a^2 z^4-z^4-2 a^4 z^2+4 a^2 z^2-3 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+a^5 z^9-10 a^3 z^9-8 a z^9+3 z^9 a^{-1} -20 a^4 z^8-46 a^2 z^8+z^8 a^{-2} -25 z^8-6 a^5 z^7+6 a^3 z^7-7 a z^7-19 z^7 a^{-1} +42 a^4 z^6+91 a^2 z^6-6 z^6 a^{-2} +43 z^6+11 a^5 z^5+21 a^3 z^5+41 a z^5+31 z^5 a^{-1} -33 a^4 z^4-65 a^2 z^4+5 z^4 a^{-2} -27 z^4-8 a^5 z^3-25 a^3 z^3-33 a z^3-19 z^3 a^{-1} -3 z^3 a^{-3} +7 a^4 z^2+15 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +8 z^2+2 a^5 z+7 a^3 z+8 a z+4 z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math] |
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