K13n1563
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Polynomial invariants
| Jones polynomial | Data:K13n1563/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+33 t-43+33 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1563/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -2 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +z^2+ a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +11 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^9 a^{-3} +3 z^9 a^{-5} +9 z^9 a^{-7} +9 z^9 a^{-9} +z^8 a^{-2} -12 z^8 a^{-4} -36 z^8 a^{-6} -18 z^8 a^{-8} +5 z^8 a^{-10} -9 z^7 a^{-3} -29 z^7 a^{-5} -52 z^7 a^{-7} -31 z^7 a^{-9} +z^7 a^{-11} +17 z^6 a^{-4} +33 z^6 a^{-6} +z^6 a^{-8} -15 z^6 a^{-10} +3 z^5 a^{-1} +20 z^5 a^{-3} +52 z^5 a^{-5} +63 z^5 a^{-7} +26 z^5 a^{-9} -2 z^5 a^{-11} +3 z^4 a^{-2} -4 z^4 a^{-4} -3 z^4 a^{-6} +11 z^4 a^{-8} +8 z^4 a^{-10} +z^4-4 z^3 a^{-1} -16 z^3 a^{-3} -33 z^3 a^{-5} -26 z^3 a^{-7} -5 z^3 a^{-9} -3 z^2 a^{-2} -3 z^2 a^{-4} -7 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -2 z^2+z a^{-1} +5 z a^{-3} +7 z a^{-5} +2 z a^{-7} -z a^{-9} + a^{-4} +2 a^{-6} + a^{-8} +1 }[/math] |
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