K13n4080
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Polynomial invariants
| Jones polynomial | Data:K13n4080/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-9 t+15-9 t^{-1} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4080/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+z^6 a^{-2} -6 z^6+a^4 z^4+2 a^2 z^4+4 z^4 a^{-2} -9 z^4+3 a^2 z^2+2 z^2 a^{-2} -3 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-5 a z^9-4 z^9 a^{-1} +3 z^9 a^{-3} +5 a^4 z^8-4 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -30 z^8+4 a^5 z^7-4 a^3 z^7+a z^7-9 z^7 a^{-1} -18 z^7 a^{-3} +a^6 z^6-17 a^4 z^6+4 a^2 z^6+37 z^6 a^{-2} -5 z^6 a^{-4} +64 z^6-12 a^5 z^5-6 a^3 z^5+13 a z^5+35 z^5 a^{-1} +28 z^5 a^{-3} -2 a^6 z^4+10 a^4 z^4-6 a^2 z^4-25 z^4 a^{-2} +5 z^4 a^{-4} -48 z^4+5 a^5 z^3+5 a^3 z^3-10 a z^3-22 z^3 a^{-1} -12 z^3 a^{-3} +5 a^2 z^2+6 z^2 a^{-2} +11 z^2+a^5 z+a^3 z+a z+z a^{-1} -a^4-a^2+ a^{-2} +2 }[/math] |
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