K12n275
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+4-5 q^{-1} +6 q^{-2} -6 q^{-3} +5 q^{-4} -4 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-9 t+15-9 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4-z^2+1 }[/math] |
| Determinant | 37 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4+z^2 a^4+z^4 a^2+z^2 a^2+a^2-2 z^2-1+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+4 a^3 z^9+a z^9+3 a^6 z^8-a^4 z^8-4 a^2 z^8+a^7 z^7-14 a^5 z^7-20 a^3 z^7-5 a z^7-14 a^6 z^6-11 a^4 z^6+4 a^2 z^6+z^6-4 a^7 z^5+17 a^5 z^5+30 a^3 z^5+9 a z^5+16 a^6 z^4+17 a^4 z^4-2 a^2 z^4-3 z^4+3 a^7 z^3-7 a^5 z^3-18 a^3 z^3-7 a z^3+z^3 a^{-1} -4 a^6 z^2-6 a^4 z^2+a^2 z^2+z^2 a^{-2} +4 z^2+a^5 z+3 a^3 z+2 a z-a^2- a^{-2} -1 }[/math] |
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