K12n583
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-3 q^6+5 q^5-7 q^4+10 q^3-10 q^2+9 q-8+5 q^{-1} -3 q^{-2} +2 q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+16 t-21+16 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -5 z^4-4 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -z^4 a^{-4} -2 z^4+2 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-6} -5 z^2+3 a^2+ a^{-2} + a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +4 z^8 a^{-4} -4 z^8-3 a z^7-16 z^7 a^{-1} -9 z^7 a^{-3} +4 z^7 a^{-5} +3 a^2 z^6-5 z^6 a^{-2} -9 z^6 a^{-4} +4 z^6 a^{-6} +11 z^6+a z^5+23 z^5 a^{-1} +14 z^5 a^{-3} -5 z^5 a^{-5} +3 z^5 a^{-7} -13 a^2 z^4+4 z^4 a^{-2} +10 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -25 z^4+a z^3-14 z^3 a^{-1} -9 z^3 a^{-3} +2 z^3 a^{-5} -4 z^3 a^{-7} +14 a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +21 z^2-2 a z+2 z a^{-3} -3 a^2- a^{-2} + a^{-4} -4 }[/math] |
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