K13n4235
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Polynomial invariants
| Jones polynomial | Data:K13n4235/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+14 t^2-11 t+7-11 t^{-1} +14 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4235/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+8 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} -4 z^4+8 z^2 a^{-2} +5 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} -4 z^2+4 a^{-2} + a^{-4} -2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10}+a z^9-6 z^9 a^{-1} +7 z^9 a^{-5} -49 z^8 a^{-2} -26 z^8 a^{-4} +5 z^8 a^{-6} -18 z^8-6 a z^7-11 z^7 a^{-1} -37 z^7 a^{-3} -30 z^7 a^{-5} +2 z^7 a^{-7} +84 z^6 a^{-2} +28 z^6 a^{-4} -20 z^6 a^{-6} +36 z^6+13 a z^5+47 z^5 a^{-1} +72 z^5 a^{-3} +31 z^5 a^{-5} -7 z^5 a^{-7} -57 z^4 a^{-2} -11 z^4 a^{-4} +19 z^4 a^{-6} +z^4 a^{-8} -28 z^4-12 a z^3-41 z^3 a^{-1} -43 z^3 a^{-3} -8 z^3 a^{-5} +6 z^3 a^{-7} +19 z^2 a^{-2} +3 z^2 a^{-4} -8 z^2 a^{-6} -z^2 a^{-8} +9 z^2+4 a z+10 z a^{-1} +8 z a^{-3} -2 z a^{-5} -3 z a^{-7} +z a^{-9} -4 a^{-2} + a^{-4} +2 a^{-6} -2 }[/math] |
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