K13n3653
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Polynomial invariants
| Jones polynomial | Data:K13n3653/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+21 t^2-29 t+31-29 t^{-1} +21 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3653/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +11 z^4 a^{-4} +4 z^4 a^{-6} -4 z^4 a^{-8} -5 z^2 a^{-2} +14 z^2 a^{-4} -4 z^2 a^{-8} +z^2 a^{-10} -2 a^{-2} +6 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +10 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^9 a^{-3} +3 z^9 a^{-5} +5 z^9 a^{-7} +6 z^9 a^{-9} +3 z^8 a^{-2} -6 z^8 a^{-4} -27 z^8 a^{-6} -16 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -9 z^7 a^{-3} -16 z^7 a^{-5} -19 z^7 a^{-7} -13 z^7 a^{-9} -11 z^6 a^{-2} -9 z^6 a^{-4} +28 z^6 a^{-6} +31 z^6 a^{-8} +5 z^6 a^{-10} -4 z^5 a^{-1} -2 z^5 a^{-3} +6 z^5 a^{-5} +19 z^5 a^{-7} +21 z^5 a^{-9} +6 z^5 a^{-11} +13 z^4 a^{-2} +19 z^4 a^{-4} -16 z^4 a^{-6} -29 z^4 a^{-8} -6 z^4 a^{-10} +z^4 a^{-12} +5 z^3 a^{-1} +11 z^3 a^{-3} +7 z^3 a^{-5} -7 z^3 a^{-7} -11 z^3 a^{-9} -3 z^3 a^{-11} -7 z^2 a^{-2} -17 z^2 a^{-4} +11 z^2 a^{-8} +z^2 a^{-10} -2 z a^{-1} -5 z a^{-3} -5 z a^{-5} +z a^{-7} +z a^{-9} -2 z a^{-11} +2 a^{-2} +6 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
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