K13n4068
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Polynomial invariants
| Jones polynomial | Data:K13n4068/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-24 t^2+47 t-57+47 t^{-1} -24 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4068/Conway Polynomial |
| Determinant | 215 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +4 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-6} -z^4+z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} - a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +5 z^{10} a^{-2} +16 z^{10} a^{-4} +11 z^{10} a^{-6} +2 z^9 a^{-1} +4 z^9 a^{-3} +18 z^9 a^{-5} +16 z^9 a^{-7} -10 z^8 a^{-2} -34 z^8 a^{-4} -12 z^8 a^{-6} +12 z^8 a^{-8} +3 z^7 a^{-1} -12 z^7 a^{-3} -54 z^7 a^{-5} -34 z^7 a^{-7} +5 z^7 a^{-9} +24 z^6 a^{-2} +33 z^6 a^{-4} -9 z^6 a^{-6} -23 z^6 a^{-8} +z^6 a^{-10} +6 z^6+a z^5-2 z^5 a^{-1} +13 z^5 a^{-3} +45 z^5 a^{-5} +22 z^5 a^{-7} -7 z^5 a^{-9} -21 z^4 a^{-2} -19 z^4 a^{-4} +7 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -7 z^4-a z^3-2 z^3 a^{-1} -z^3 a^{-3} -10 z^3 a^{-5} -9 z^3 a^{-7} +z^3 a^{-9} +3 z^2 a^{-2} +9 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} -z^2-z a^{-1} -3 z a^{-3} -z a^{-5} +z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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