K13n2541
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Polynomial invariants
| Jones polynomial | Data:K13n2541/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-26 t+37-26 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2541/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2-2 z^4 a^2-3 z^2 a^2-a^2+3 z^4+5 z^2+3-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+10 a^2 z^{10}+4 z^{10}+7 a^5 z^9+4 a^3 z^9-a z^9+2 z^9 a^{-1} +4 a^6 z^8-20 a^4 z^8-43 a^2 z^8-19 z^8+a^7 z^7-27 a^5 z^7-43 a^3 z^7-24 a z^7-9 z^7 a^{-1} -14 a^6 z^6+12 a^4 z^6+60 a^2 z^6+z^6 a^{-2} +35 z^6-3 a^7 z^5+27 a^5 z^5+67 a^3 z^5+58 a z^5+21 z^5 a^{-1} +10 a^6 z^4+a^4 z^4-30 a^2 z^4+2 z^4 a^{-2} -19 z^4+a^7 z^3-11 a^5 z^3-36 a^3 z^3-41 a z^3-16 z^3 a^{-1} +z^3 a^{-3} -2 a^6 z^2+3 a^2 z^2-3 z^2 a^{-2} -2 z^2+2 a^5 z+6 a^3 z+7 a z+3 z a^{-1} +a^2+ a^{-2} +3 }[/math] |
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