K13n3859
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Polynomial invariants
| Jones polynomial | Data:K13n3859/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-3 t+3-3 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3859/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-3 z^4 a^4-z^2 a^4+a^4-z^6 a^2-5 z^4 a^2-7 z^2 a^2-3 a^2+z^6+5 z^4+8 z^2+4-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+2 a^2 z^{10}+z^{10}+3 a^7 z^9-3 a^3 z^9+3 a z^9+3 z^9 a^{-1} +a^8 z^8-14 a^6 z^8-22 a^4 z^8-12 a^2 z^8+3 z^8 a^{-2} -2 z^8-16 a^7 z^7-22 a^5 z^7-12 a^3 z^7-21 a z^7-14 z^7 a^{-1} +z^7 a^{-3} -5 a^8 z^6+14 a^6 z^6+28 a^4 z^6+7 a^2 z^6-14 z^6 a^{-2} -16 z^6+25 a^7 z^5+41 a^5 z^5+30 a^3 z^5+29 a z^5+11 z^5 a^{-1} -4 z^5 a^{-3} +7 a^8 z^4-a^6 z^4-10 a^4 z^4+16 a^2 z^4+15 z^4 a^{-2} +33 z^4-14 a^7 z^3-25 a^5 z^3-20 a^3 z^3-10 a z^3+2 z^3 a^{-1} +3 z^3 a^{-3} -3 a^8 z^2-a^6 z^2-a^4 z^2-16 a^2 z^2-6 z^2 a^{-2} -19 z^2+2 a^7 z+5 a^5 z+4 a^3 z-2 z a^{-1} -z a^{-3} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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