K13n1876
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Polynomial invariants
| Jones polynomial | Data:K13n1876/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-21 t+27-21 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1876/Conway Polynomial |
| Determinant | 89 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-2 a^{10}+3 z^4 a^8+6 z^2 a^8+3 a^8-z^6 a^6-2 z^4 a^6-2 z^2 a^6-2 a^6+2 z^4 a^4+4 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-7 z^3 a^{13}+3 z a^{13}+z^8 a^{12}+2 z^6 a^{12}-8 z^4 a^{12}+4 z^2 a^{12}+2 z^9 a^{11}-2 z^7 a^{11}+z^5 a^{11}-4 z^3 a^{11}+z a^{11}+z^{10} a^{10}+3 z^8 a^{10}-8 z^6 a^{10}+7 z^4 a^{10}-6 z^2 a^{10}+2 a^{10}+5 z^9 a^9-7 z^7 a^9+2 z^5 a^9+2 z^3 a^9-z a^9+z^{10} a^8+5 z^8 a^8-14 z^6 a^8+20 z^4 a^8-13 z^2 a^8+3 a^8+3 z^9 a^7-4 z^7 a^7+7 z^5 a^7-5 z^3 a^7+z a^7+3 z^8 a^6-4 z^6 a^6+8 z^4 a^6-8 z^2 a^6+2 a^6+z^7 a^5+3 z^5 a^5-4 z^3 a^5+3 z^4 a^4-5 z^2 a^4+2 a^4 }[/math] |
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