K13n1709
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Polynomial invariants
| Jones polynomial | Data:K13n1709/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-10 t^2+11 t-11+11 t^{-1} -10 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1709/Conway Polynomial |
| Determinant | 71 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -6 z^4 a^{-6} -13 z^4 a^{-8} +6 z^4 a^{-10} +7 z^2 a^{-4} +z^2 a^{-6} -15 z^2 a^{-8} +10 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +3 a^{-6} -8 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} -z^9 a^{-7} +3 z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -25 z^8 a^{-8} -15 z^8 a^{-10} +z^8 a^{-12} -10 z^7 a^{-5} -9 z^7 a^{-7} -13 z^7 a^{-9} -14 z^7 a^{-11} -6 z^6 a^{-4} +7 z^6 a^{-6} +49 z^6 a^{-8} +34 z^6 a^{-10} -2 z^6 a^{-12} +14 z^5 a^{-5} +15 z^5 a^{-7} +28 z^5 a^{-9} +28 z^5 a^{-11} +z^5 a^{-13} +12 z^4 a^{-4} -2 z^4 a^{-6} -59 z^4 a^{-8} -42 z^4 a^{-10} +3 z^4 a^{-12} -4 z^3 a^{-5} -10 z^3 a^{-7} -31 z^3 a^{-9} -23 z^3 a^{-11} +2 z^3 a^{-13} -9 z^2 a^{-4} +6 z^2 a^{-6} +36 z^2 a^{-8} +21 z^2 a^{-10} +2 z^2 a^{-12} +2 z^2 a^{-14} -z a^{-5} +5 z a^{-7} +11 z a^{-9} +5 z a^{-11} +2 a^{-4} -3 a^{-6} -8 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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