K13n3537
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Polynomial invariants
| Jones polynomial | Data:K13n3537/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3537/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -7 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +6 z^2-a^2-2 a^{-2} +2 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9+3 z^9 a^{-1} +8 z^9 a^{-3} +6 z^9 a^{-5} -16 z^8 a^{-2} -5 z^8 a^{-4} +4 z^8 a^{-6} -7 z^8-5 a z^7-24 z^7 a^{-1} -38 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} -20 z^6 a^{-4} -13 z^6 a^{-6} +7 z^6+13 a z^5+43 z^5 a^{-1} +42 z^5 a^{-3} +9 z^5 a^{-5} -3 z^5 a^{-7} +2 a^2 z^4+25 z^4 a^{-2} +28 z^4 a^{-4} +11 z^4 a^{-6} +10 z^4-8 a z^3-25 z^3 a^{-1} -20 z^3 a^{-3} +3 z^3 a^{-7} -2 a^2 z^2-18 z^2 a^{-2} -13 z^2 a^{-4} -4 z^2 a^{-6} -11 z^2+2 a z+5 z a^{-1} +5 z a^{-3} +z a^{-5} -z a^{-7} +a^2+2 a^{-2} +2 a^{-4} + a^{-6} +3 }[/math] |
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