K13n3169
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Polynomial invariants
| Jones polynomial | Data:K13n3169/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3169/Conway Polynomial |
| Determinant | 45 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+z^4 a^6+3 z^2 a^6+2 a^6+z^8 a^4+6 z^6 a^4+12 z^4 a^4+9 z^2 a^4+a^4-z^6 a^2-4 z^4 a^2-4 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-6 z^5 a^{11}+9 z^3 a^{11}-3 z a^{11}+z^8 a^{10}-7 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}-z^7 a^9+z^5 a^9+3 z^3 a^9-z^8 a^8+4 z^6 a^8-5 z^4 a^8+6 z^2 a^8-2 a^8+z^9 a^7-6 z^7 a^7+15 z^5 a^7-16 z^3 a^7+6 z a^7+z^{10} a^6-4 z^8 a^6+9 z^6 a^6-16 z^4 a^6+10 z^2 a^6-2 a^6+4 z^9 a^5-16 z^7 a^5+21 z^5 a^5-17 z^3 a^5+5 z a^5+z^{10} a^4+z^8 a^4-15 z^6 a^4+17 z^4 a^4-7 z^2 a^4+a^4+3 z^9 a^3-11 z^7 a^3+9 z^5 a^3-3 z^3 a^3+2 z a^3+3 z^8 a^2-13 z^6 a^2+16 z^4 a^2-6 z^2 a^2+z^7 a-4 z^5 a+4 z^3 a }[/math] |
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