K13n247
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Polynomial invariants
| Jones polynomial | Data:K13n247/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-6 t^3+8 t^2-4 t+1-4 t^{-1} +8 t^{-2} -6 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n247/Conway Polynomial |
| Determinant | 41 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +6 z^6 a^{-2} +6 z^6 a^{-4} -z^6 a^{-6} -z^6+12 z^4 a^{-2} +11 z^4 a^{-4} -6 z^4 a^{-6} -5 z^4+12 z^2 a^{-2} +9 z^2 a^{-4} -9 z^2 a^{-6} +z^2 a^{-8} -7 z^2+5 a^{-2} +3 a^{-4} -5 a^{-6} + a^{-8} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9-2 z^9 a^{-1} +3 z^9 a^{-5} -30 z^8 a^{-2} -15 z^8 a^{-4} +2 z^8 a^{-6} -13 z^8-7 a z^7-15 z^7 a^{-1} -24 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +56 z^6 a^{-2} +17 z^6 a^{-4} -11 z^6 a^{-6} +28 z^6+17 a z^5+48 z^5 a^{-1} +53 z^5 a^{-3} +16 z^5 a^{-5} -6 z^5 a^{-7} -43 z^4 a^{-2} -2 z^4 a^{-4} +16 z^4 a^{-6} -25 z^4-17 a z^3-45 z^3 a^{-1} -38 z^3 a^{-3} -z^3 a^{-5} +9 z^3 a^{-7} +18 z^2 a^{-2} -5 z^2 a^{-4} -13 z^2 a^{-6} -z^2 a^{-8} +11 z^2+6 a z+14 z a^{-1} +10 z a^{-3} -4 z a^{-5} -6 z a^{-7} -5 a^{-2} +3 a^{-4} +5 a^{-6} + a^{-8} -3 }[/math] |
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