K13n2204
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Polynomial invariants
| Jones polynomial | Data:K13n2204/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-9 t^2+8 t-7+8 t^{-1} -9 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2204/Conway Polynomial |
| Determinant | 59 |
| 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} -12 z^4 a^{-8} +6 z^4 a^{-10} +7 z^2 a^{-4} -12 z^2 a^{-8} +9 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +2 a^{-6} -6 a^{-8} +4 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} -26 z^8 a^{-8} -16 z^8 a^{-10} +z^8 a^{-12} -10 z^7 a^{-5} -11 z^7 a^{-7} -18 z^7 a^{-9} -17 z^7 a^{-11} -6 z^6 a^{-4} +6 z^6 a^{-6} +47 z^6 a^{-8} +30 z^6 a^{-10} -5 z^6 a^{-12} +14 z^5 a^{-5} +20 z^5 a^{-7} +38 z^5 a^{-9} +32 z^5 a^{-11} +12 z^4 a^{-4} -49 z^4 a^{-8} -30 z^4 a^{-10} +7 z^4 a^{-12} -5 z^3 a^{-5} -15 z^3 a^{-7} -33 z^3 a^{-9} -23 z^3 a^{-11} -9 z^2 a^{-4} +3 z^2 a^{-6} +28 z^2 a^{-8} +16 z^2 a^{-10} +6 z a^{-7} +10 z a^{-9} +5 z a^{-11} +z a^{-13} +2 a^{-4} -2 a^{-6} -6 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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