K12n695
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-7 q^3+11 q^2-13 q+15-13 q^{-1} +11 q^{-2} -7 q^{-3} +3 q^{-4} - q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-17 t+21-17 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+4 z^6+6 z^4+3 z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +6 z^6-4 a^2 z^4-4 z^4 a^{-2} +14 z^4-6 a^2 z^2-6 z^2 a^{-2} +15 z^2-3 a^2-3 a^{-2} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+5 a z^9+4 z^9 a^{-1} -a^2 z^8+7 z^8 a^{-2} +6 z^8-2 a^3 z^7-13 a z^7-5 z^7 a^{-1} +6 z^7 a^{-3} +3 a^4 z^6+2 a^2 z^6-19 z^6 a^{-2} +3 z^6 a^{-4} -23 z^6+a^5 z^5+7 a^3 z^5+17 a z^5-4 z^5 a^{-1} -14 z^5 a^{-3} +z^5 a^{-5} -6 a^4 z^4+3 a^2 z^4+23 z^4 a^{-2} -5 z^4 a^{-4} +37 z^4-3 a^5 z^3-10 a^3 z^3-5 a z^3+15 z^3 a^{-1} +11 z^3 a^{-3} -2 z^3 a^{-5} +2 a^4 z^2-9 a^2 z^2-13 z^2 a^{-2} -24 z^2+2 a^5 z+2 a^3 z-3 a z-7 z a^{-1} -4 z a^{-3} +3 a^2+3 a^{-2} +7 }[/math] |
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