K13n1207
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Polynomial invariants
| Jones polynomial | Data:K13n1207/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+7 t^2-4 t+1-4 t^{-1} +7 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1207/Conway Polynomial |
| Determinant | 29 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -z^6+a^2 z^4-4 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} -5 z^4+4 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +4 z^2 a^{-6} -7 z^2+3 a^2+ a^{-2} +2 a^{-6} - a^{-8} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}-8 a z^9-6 z^9 a^{-1} +2 z^9 a^{-3} -9 a^2 z^8-13 z^8 a^{-2} +2 z^8 a^{-4} -24 z^8+22 a z^7+10 z^7 a^{-1} -10 z^7 a^{-3} +2 z^7 a^{-5} +29 a^2 z^6+28 z^6 a^{-2} -8 z^6 a^{-4} +2 z^6 a^{-6} +67 z^6-25 a z^5-4 z^5 a^{-1} +13 z^5 a^{-3} -7 z^5 a^{-5} +z^5 a^{-7} -40 a^2 z^4-25 z^4 a^{-2} +6 z^4 a^{-4} -7 z^4 a^{-6} -78 z^4+13 a z^3+3 z^3 a^{-1} -4 z^3 a^{-3} +4 z^3 a^{-5} -2 z^3 a^{-7} +22 a^2 z^2+10 z^2 a^{-2} +6 z^2 a^{-6} +2 z^2 a^{-8} +36 z^2-4 a z-4 z a^{-1} +z a^{-7} +z a^{-9} -3 a^2- a^{-2} -2 a^{-6} - a^{-8} -4 }[/math] |
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