K12n435
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-4 q+7-8 q^{-1} +10 q^{-2} -9 q^{-3} +8 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-13 t+17-13 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2+a^2+z^4+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+5 a^3 z^9+2 a z^9+3 a^6 z^8+3 a^4 z^8+a^2 z^8+z^8+a^7 z^7-9 a^5 z^7-17 a^3 z^7-7 a z^7-12 a^6 z^6-23 a^4 z^6-15 a^2 z^6-4 z^6-4 a^7 z^5+a^5 z^5+12 a^3 z^5+7 a z^5+13 a^6 z^4+26 a^4 z^4+21 a^2 z^4+8 z^4+5 a^7 z^3+6 a^5 z^3-a^3 z^3+2 z^3 a^{-1} -5 a^6 z^2-10 a^4 z^2-8 a^2 z^2-3 z^2-2 a^7 z-2 a^5 z+a^6+a^4-a^2 }[/math] |
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