K13n2688
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Polynomial invariants
| Jones polynomial | Data:K13n2688/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-26 t+33-26 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2688/Conway Polynomial |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+15 a^2 z^4+z^4 a^{-2} -8 z^4-6 a^4 z^2+17 a^2 z^2+2 z^2 a^{-2} -12 z^2-3 a^4+8 a^2+2 a^{-2} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+9 a^2 z^{10}+4 z^{10}+5 a^5 z^9+a^3 z^9-a z^9+3 z^9 a^{-1} +3 a^6 z^8-17 a^4 z^8-34 a^2 z^8+z^8 a^{-2} -13 z^8+a^7 z^7-18 a^5 z^7-21 a^3 z^7-8 a z^7-6 z^7 a^{-1} -11 a^6 z^6+19 a^4 z^6+55 a^2 z^6+3 z^6 a^{-2} +28 z^6-4 a^7 z^5+18 a^5 z^5+31 a^3 z^5+18 a z^5+13 z^5 a^{-1} +4 z^5 a^{-3} +10 a^6 z^4-17 a^4 z^4-54 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -31 z^4+4 a^7 z^3-8 a^5 z^3-19 a^3 z^3-13 a z^3-10 z^3 a^{-1} -4 z^3 a^{-3} -3 a^6 z^2+11 a^4 z^2+32 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +21 z^2-a^7 z+a^5 z+4 a^3 z+3 a z+2 z a^{-1} +z a^{-3} -3 a^4-8 a^2-2 a^{-2} -6 }[/math] |
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