K12n798
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-4 q^2+8 q-12+15 q^{-1} -15 q^{-2} +15 q^{-3} -11 q^{-4} +7 q^{-5} -3 q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+22 t-31+22 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-z^4+3 z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 a^6-z^4 a^4+2 z^2 a^4+3 a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2-2 z^4-2 z^2+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+5 a^3 z^9+4 a z^9+a^4 z^8+7 a^2 z^8+6 z^8+a^5 z^7-6 a^3 z^7-3 a z^7+4 z^7 a^{-1} +3 a^6 z^6+a^4 z^6-17 a^2 z^6+z^6 a^{-2} -14 z^6-10 a z^5-10 z^5 a^{-1} +2 a^6 z^4+6 a^2 z^4-2 z^4 a^{-2} +6 z^4+5 a^7 z^3+7 a^5 z^3+a^3 z^3+5 a z^3+6 z^3 a^{-1} -3 a^6 z^2-3 a^4 z^2-a^2 z^2+z^2 a^{-2} -4 a^7 z-5 a^5 z-a^3 z+2 a^6+3 a^4 }[/math] |
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