K12n876
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^6-4 q^5+7 q^4-11 q^3+12 q^2-13 q+13-9 q^{-1} +6 q^{-2} -3 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-18 t+25-18 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4-4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -3 z^4+2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} -3 z^2+a^2-2 a^{-2} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +5 z^9 a^{-3} +z^9 a^{-5} +5 z^8 a^{-2} -z^8 a^{-4} +6 z^8+6 a z^7-7 z^7 a^{-1} -14 z^7 a^{-3} -z^7 a^{-5} +5 a^2 z^6-19 z^6 a^{-2} +3 z^6 a^{-6} -11 z^6+3 a^3 z^5-8 a z^5+5 z^5 a^{-1} +11 z^5 a^{-3} -5 z^5 a^{-5} +a^4 z^4-6 a^2 z^4+18 z^4 a^{-2} -8 z^4 a^{-4} -11 z^4 a^{-6} +8 z^4-3 a^3 z^3+4 a z^3-2 z^3 a^{-1} -2 z^3 a^{-3} +7 z^3 a^{-5} -a^4 z^2+3 a^2 z^2-7 z^2 a^{-2} +7 z^2 a^{-4} +10 z^2 a^{-6} -4 z a^{-3} -4 z a^{-5} -a^2+2 a^{-2} - a^{-6} +1 }[/math] |
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