K13n4256
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Polynomial invariants
| Jones polynomial | Data:K13n4256/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-11 t^2+18 t-21+18 t^{-1} -11 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4256/Conway Polynomial |
| Determinant | 87 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -3 z^4 a^{10}-8 z^2 a^{10}-4 a^{10}+3 z^6 a^8+13 z^4 a^8+16 z^2 a^8+5 a^8+z^6 a^6+3 z^4 a^6+2 z^2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^3 a^{15}-4 z a^{15}+3 z^6 a^{14}+2 z^4 a^{14}-3 z^2 a^{14}+z^9 a^{13}+z^7 a^{13}+4 z^3 a^{13}-2 z a^{13}+z^{10} a^{12}+z^8 a^{12}-z^4 a^{12}+2 z^2 a^{12}+5 z^9 a^{11}-7 z^7 a^{11}-z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+z^{10} a^{10}+7 z^8 a^{10}-23 z^6 a^{10}+23 z^4 a^{10}-15 z^2 a^{10}+4 a^{10}+4 z^9 a^9-5 z^7 a^9-8 z^5 a^9+10 z^3 a^9-4 z a^9+6 z^8 a^8-19 z^6 a^8+23 z^4 a^8-18 z^2 a^8+5 a^8+3 z^7 a^7-7 z^5 a^7+3 z^3 a^7+z^6 a^6-3 z^4 a^6+2 z^2 a^6 }[/math] |
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