K12n288
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+2 q^6-4 q^5+6 q^4-7 q^3+8 q^2-7 q+7-4 q^{-1} +2 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-12 t+17-12 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4+4 z^2+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +z^4-a^2 z^2+4 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +z^2-a^2+2 a^{-2} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -2 z^8 a^{-2} -z^8 a^{-4} +2 z^8 a^{-6} +z^8-9 z^7 a^{-1} -17 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} -z^6 a^{-2} -8 z^6 a^{-4} -9 z^6 a^{-6} -2 z^6+3 a z^5+19 z^5 a^{-1} +24 z^5 a^{-3} +3 z^5 a^{-5} -5 z^5 a^{-7} +2 a^2 z^4+2 z^4 a^{-2} +11 z^4 a^{-4} +11 z^4 a^{-6} +4 z^4+a^3 z^3-3 a z^3-18 z^3 a^{-1} -18 z^3 a^{-3} +3 z^3 a^{-5} +7 z^3 a^{-7} -2 a^2 z^2+z^2 a^{-2} -4 z^2 a^{-4} -5 z^2 a^{-6} -2 z^2-a^3 z+a z+6 z a^{-1} +6 z a^{-3} -z a^{-5} -3 z a^{-7} +a^2-2 a^{-2} + a^{-6} +1 }[/math] |
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