K13n3751
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Polynomial invariants
| Jones polynomial | Data:K13n3751/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2-2 t+3-2 t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3751/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -8 z^6+5 a^2 z^4+17 z^4 a^{-2} -4 z^4 a^{-4} -22 z^4+8 a^2 z^2+17 z^2 a^{-2} -4 z^2 a^{-4} -24 z^2+4 a^2+6 a^{-2} - a^{-4} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+2 a^3 z^9-5 a z^9-7 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-12 a^2 z^8-16 z^8 a^{-2} -2 z^8 a^{-4} +3 z^8 a^{-6} -24 z^8-12 a^3 z^7+2 a z^7+11 z^7 a^{-1} -18 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+20 a^2 z^6+41 z^6 a^{-2} -8 z^6 a^{-4} -14 z^6 a^{-6} +61 z^6+20 a^3 z^5+9 a z^5+31 z^5 a^{-3} +16 z^5 a^{-5} -4 z^5 a^{-7} +10 a^4 z^4-15 a^2 z^4-50 z^4 a^{-2} +13 z^4 a^{-4} +16 z^4 a^{-6} -72 z^4-11 a^3 z^3-8 a z^3-12 z^3 a^{-1} -24 z^3 a^{-3} -6 z^3 a^{-5} +3 z^3 a^{-7} -5 a^4 z^2+11 a^2 z^2+26 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2 a^{-6} +41 z^2+2 a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +2 z a^{-5} -4 a^2-6 a^{-2} - a^{-4} -8 }[/math] |
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