K13a1056
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Polynomial invariants
| Jones polynomial | Data:K13a1056/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+15 t^3-50 t^2+98 t-121+98 t^{-1} -50 t^{-2} +15 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1056/Conway Polynomial |
| Determinant | 451 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -z^6 a^{-2} -3 z^6 a^{-4} +z^6 a^{-6} +2 z^6-a^2 z^4+2 z^4 a^{-2} -6 z^4 a^{-4} +2 z^4 a^{-6} +3 z^4-a^2 z^2+4 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-2} +4 z^{12} a^{-4} +13 z^{11} a^{-1} +28 z^{11} a^{-3} +15 z^{11} a^{-5} +38 z^{10} a^{-2} +45 z^{10} a^{-4} +24 z^{10} a^{-6} +17 z^{10}+12 a z^9-z^9 a^{-1} -24 z^9 a^{-3} +11 z^9 a^{-5} +22 z^9 a^{-7} +5 a^2 z^8-107 z^8 a^{-2} -115 z^8 a^{-4} -33 z^8 a^{-6} +13 z^8 a^{-8} -33 z^8+a^3 z^7-27 a z^7-51 z^7 a^{-1} -55 z^7 a^{-3} -74 z^7 a^{-5} -37 z^7 a^{-7} +5 z^7 a^{-9} -11 a^2 z^6+92 z^6 a^{-2} +95 z^6 a^{-4} +12 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +18 z^6-2 a^3 z^5+22 a z^5+58 z^5 a^{-1} +76 z^5 a^{-3} +76 z^5 a^{-5} +28 z^5 a^{-7} -6 z^5 a^{-9} +8 a^2 z^4-40 z^4 a^{-2} -41 z^4 a^{-4} +z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} -2 z^4+a^3 z^3-8 a z^3-25 z^3 a^{-1} -36 z^3 a^{-3} -32 z^3 a^{-5} -10 z^3 a^{-7} +2 z^3 a^{-9} -2 a^2 z^2+11 z^2 a^{-2} +11 z^2 a^{-4} -2 z^2 a^{-8} +a z+4 z a^{-1} +7 z a^{-3} +5 z a^{-5} +z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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