K12n608
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-3 q+5-6 q^{-1} +7 q^{-2} -6 q^{-3} +6 q^{-4} -4 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-10 t+15-10 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+2 z^2+1 }[/math] |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+z^2 a^4+2 z^4 a^2+5 z^2 a^2+4 a^2-3 z^2-3+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+3 a^3 z^9+a z^9+2 a^6 z^8-3 a^4 z^8-5 a^2 z^8+a^7 z^7-8 a^5 z^7-13 a^3 z^7-4 a z^7-9 a^6 z^6+3 a^4 z^6+14 a^2 z^6+2 z^6-5 a^7 z^5+8 a^5 z^5+20 a^3 z^5+7 a z^5+11 a^6 z^4-7 a^4 z^4-24 a^2 z^4-6 z^4+7 a^7 z^3-3 a^5 z^3-17 a^3 z^3-5 a z^3+2 z^3 a^{-1} -4 a^6 z^2+4 a^4 z^2+17 a^2 z^2+z^2 a^{-2} +10 z^2-2 a^7 z+4 a^3 z+2 a z+a^6-4 a^2- a^{-2} -3 }[/math] |
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