K12n48
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-2 q^3+4 q^2-6 q+8-8 q^{-1} +7 q^{-2} -6 q^{-3} +4 q^{-4} -2 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-12 t+21-12 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4-4 z^2+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-2 z^2 a^4-a^4+z^4 a^2+z^4+1-2 z^2 a^{-2} - a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +2 a^4 z^8-2 a^2 z^8+z^8 a^{-2} -3 z^8+2 a^5 z^7-7 a^3 z^7-20 a z^7-11 z^7 a^{-1} +a^6 z^6-5 a^4 z^6-2 a^2 z^6-4 z^6 a^{-2} -7 a^5 z^5+9 a^3 z^5+38 a z^5+24 z^5 a^{-1} +2 z^5 a^{-3} -4 a^6 z^4-a^4 z^4+7 a^2 z^4+8 z^4 a^{-2} +z^4 a^{-4} +11 z^4+5 a^5 z^3-9 a^3 z^3-27 a z^3-18 z^3 a^{-1} -5 z^3 a^{-3} +4 a^6 z^2+3 a^4 z^2-4 a^2 z^2-6 z^2 a^{-2} -3 z^2 a^{-4} -6 z^2-a^5 z+3 a^3 z+7 a z+5 z a^{-1} +2 z a^{-3} -a^6-a^4+ a^{-2} + a^{-4} +1 }[/math] |
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