K13n4265
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Polynomial invariants
| Jones polynomial | Data:K13n4265/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-12 t^2+18 t-21+18 t^{-1} -12 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4265/Conway Polynomial |
| Determinant | 95 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{10}-3 z^2 a^{10}-2 a^{10}+2 z^6 a^8+8 z^4 a^8+8 z^2 a^8+a^8-z^8 a^6-5 z^6 a^6-7 z^4 a^6-z^2 a^6+2 a^6+z^6 a^4+4 z^4 a^4+4 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{15}+3 z^4 a^{14}+7 z^5 a^{13}-7 z^3 a^{13}+4 z a^{13}+z^8 a^{12}+5 z^6 a^{12}-8 z^4 a^{12}+4 z^2 a^{12}+2 z^9 a^{11}-2 z^5 a^{11}-3 z^3 a^{11}+2 z^{10} a^{10}-2 z^8 a^{10}+z^6 a^{10}-8 z^4 a^{10}-z^2 a^{10}+2 a^{10}+z^{11} a^9+z^9 a^9-4 z^7 a^9-10 z^5 a^9+11 z^3 a^9-4 z a^9+5 z^{10} a^8-16 z^8 a^8+13 z^6 a^8-8 z^4 a^8+4 z^2 a^8+a^8+z^{11} a^7+2 z^9 a^7-19 z^7 a^7+22 z^5 a^7-4 z^3 a^7+3 z^{10} a^6-12 z^8 a^6+12 z^6 a^6-3 z^4 a^6+5 z^2 a^6-2 a^6+3 z^9 a^5-15 z^7 a^5+23 z^5 a^5-10 z^3 a^5+z^8 a^4-5 z^6 a^4+8 z^4 a^4-4 z^2 a^4 }[/math] |
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