K12n499
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-3 q+5-6 q^{-1} +8 q^{-2} -7 q^{-3} +6 q^{-4} -5 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-10 t+13-10 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+z^2+1 }[/math] |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+2 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+7 a^3 z^9+3 a z^9+3 a^6 z^8-5 a^4 z^8-7 a^2 z^8+z^8+a^7 z^7-18 a^5 z^7-35 a^3 z^7-16 a z^7-13 a^6 z^6-10 a^4 z^6-2 a^2 z^6-5 z^6-4 a^7 z^5+19 a^5 z^5+48 a^3 z^5+25 a z^5+13 a^6 z^4+24 a^4 z^4+19 a^2 z^4+8 z^4+3 a^7 z^3-5 a^5 z^3-20 a^3 z^3-12 a z^3-5 a^6 z^2-13 a^4 z^2-13 a^2 z^2-5 z^2-a^7 z+2 a^3 z+a z+a^6+2 a^4+a^2+1 }[/math] |
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