K13n3518
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Polynomial invariants
| Jones polynomial | Data:K13n3518/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+3 t^2-1+3 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3518/Conway Polynomial |
| Determinant | 9 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-5 z^4 a^{-2} -5 z^4+4 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} -8 z^2+4 a^2+2 a^{-4} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-7 a z^9-3 z^9 a^{-1} +4 z^9 a^{-3} -9 a^2 z^8-20 z^8 a^{-2} +2 z^8 a^{-4} -31 z^8+15 a z^7-14 z^7 a^{-1} -29 z^7 a^{-3} +30 a^2 z^6+36 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +82 z^6-9 a z^5+53 z^5 a^{-1} +59 z^5 a^{-3} -z^5 a^{-5} +2 z^5 a^{-7} -45 a^2 z^4-18 z^4 a^{-2} +25 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} -92 z^4-2 a z^3-47 z^3 a^{-1} -41 z^3 a^{-3} -z^3 a^{-5} -5 z^3 a^{-7} +28 a^2 z^2+2 z^2 a^{-2} -10 z^2 a^{-4} -2 z^2 a^{-8} +42 z^2+8 z a^{-1} +10 z a^{-3} +2 z a^{-5} -4 a^2+2 a^{-4} -5 }[/math] |
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