K13n4112
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Polynomial invariants
| Jones polynomial | Data:K13n4112/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-2 t-1-2 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4112/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -5 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} +2 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +z^9 a^{-1} +4 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} +3 z^8 a^{-2} -9 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +2 z^8+2 a z^7-6 z^7 a^{-1} -26 z^7 a^{-3} -35 z^7 a^{-5} -17 z^7 a^{-7} +a^2 z^6-22 z^6 a^{-2} +z^6 a^{-4} +6 z^6 a^{-6} -5 z^6 a^{-8} -11 z^6-9 a z^5+6 z^5 a^{-1} +43 z^5 a^{-3} +56 z^5 a^{-5} +28 z^5 a^{-7} -4 a^2 z^4+36 z^4 a^{-2} +17 z^4 a^{-4} +6 z^4 a^{-6} +7 z^4 a^{-8} +14 z^4+7 a z^3-2 z^3 a^{-1} -24 z^3 a^{-3} -30 z^3 a^{-5} -15 z^3 a^{-7} +2 a^2 z^2-20 z^2 a^{-2} -12 z^2 a^{-4} -5 z^2 a^{-6} -3 z^2 a^{-8} -8 z^2-a z+4 z a^{-3} +4 z a^{-5} +z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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