K13n4258
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Polynomial invariants
| Jones polynomial | Data:K13n4258/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+17 t-17+17 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4258/Conway Polynomial |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+3 z^4 a^{-2} -8 z^4+2 a^2 z^2+z^2 a^{-2} -5 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9-z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-21 a^2 z^8-16 z^8 a^{-2} +z^8 a^{-4} -39 z^8-18 a^3 z^7-30 a z^7-26 z^7 a^{-1} -14 z^7 a^{-3} -4 a^4 z^6+21 a^2 z^6+13 z^6 a^{-2} -5 z^6 a^{-4} +43 z^6+23 a^3 z^5+47 a z^5+44 z^5 a^{-1} +20 z^5 a^{-3} +5 a^4 z^4-3 a^2 z^4+3 z^4 a^{-2} +8 z^4 a^{-4} -13 z^4-9 a^3 z^3-21 a z^3-24 z^3 a^{-1} -12 z^3 a^{-3} -2 a^4 z^2-a^2 z^2-6 z^2 a^{-2} -5 z^2 a^{-4} +a^3 z+3 a z+5 z a^{-1} +3 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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