K13n4138
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Polynomial invariants
| Jones polynomial | Data:K13n4138/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-6 t^2+2 t+1+2 t^{-1} -6 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4138/Conway Polynomial |
| Determinant | 27 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-a^{10}+z^6 a^8+5 z^4 a^8+4 z^2 a^8-a^8-z^8 a^6-5 z^6 a^6-5 z^4 a^6+2 z^2 a^6+3 a^6+z^6 a^4+4 z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-4 z^3 a^{13}+2 z a^{13}+z^6 a^{12}-6 z^4 a^{12}+4 z^2 a^{12}-3 z^5 a^{11}+3 z^3 a^{11}-2 z a^{11}+z^{10} a^{10}-7 z^8 a^{10}+14 z^6 a^{10}-14 z^4 a^{10}+3 z^2 a^{10}+a^{10}+z^{11} a^9-5 z^9 a^9+5 z^7 a^9-5 z^5 a^9+8 z^3 a^9-3 z a^9+4 z^{10} a^8-24 z^8 a^8+41 z^6 a^8-28 z^4 a^8+9 z^2 a^8-a^8+z^{11} a^7-2 z^9 a^7-11 z^7 a^7+22 z^5 a^7-8 z^3 a^7+z a^7+3 z^{10} a^6-16 z^8 a^6+23 z^6 a^6-13 z^4 a^6+7 z^2 a^6-3 a^6+3 z^9 a^5-16 z^7 a^5+23 z^5 a^5-9 z^3 a^5+z^8 a^4-5 z^6 a^4+7 z^4 a^4-3 z^2 a^4 }[/math] |
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