K13n17
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Polynomial invariants
| Jones polynomial | Data:K13n17/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+29 t-39+29 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n17/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} +4 z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} +z^2-2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^9 a^{-3} +4 z^9 a^{-5} +8 z^9 a^{-7} +6 z^9 a^{-9} +z^8 a^{-2} -z^8 a^{-4} -11 z^8 a^{-6} -5 z^8 a^{-8} +4 z^8 a^{-10} -4 z^7 a^{-3} -15 z^7 a^{-5} -30 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} -z^6 a^{-2} -6 z^6 a^{-4} -7 z^6 a^{-6} -15 z^6 a^{-8} -13 z^6 a^{-10} +3 z^5 a^{-1} +10 z^5 a^{-3} +14 z^5 a^{-5} +20 z^5 a^{-7} +10 z^5 a^{-9} -3 z^5 a^{-11} +7 z^4 a^{-2} +19 z^4 a^{-4} +19 z^4 a^{-6} +17 z^4 a^{-8} +11 z^4 a^{-10} +z^4-4 z^3 a^{-1} -6 z^3 a^{-3} +z^3 a^{-9} +3 z^3 a^{-11} -8 z^2 a^{-2} -14 z^2 a^{-4} -8 z^2 a^{-6} -3 z^2 a^{-8} -3 z^2 a^{-10} -2 z^2+z a^{-1} +z a^{-3} -2 z a^{-5} -z a^{-7} -z a^{-11} +2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
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