K12n442
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+3 q^5-4 q^4+6 q^3-7 q^2+6 q-5+4 q^{-1} -2 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+10 t-13+10 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4-2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-2} -z^4+a^2 z^2-5 z^2 a^{-2} +3 z^2 a^{-4} -z^2+a^2-4 a^{-2} +4 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +4 z^9 a^{-3} +z^9 a^{-5} -z^8 a^{-2} -4 z^8 a^{-4} +3 z^8+2 a z^7-14 z^7 a^{-1} -22 z^7 a^{-3} -6 z^7 a^{-5} +a^2 z^6-13 z^6 a^{-2} -12 z^6-7 a z^5+20 z^5 a^{-1} +40 z^5 a^{-3} +13 z^5 a^{-5} -4 a^2 z^4+31 z^4 a^{-2} +18 z^4 a^{-4} +2 z^4 a^{-6} +11 z^4+3 a z^3-13 z^3 a^{-1} -25 z^3 a^{-3} -9 z^3 a^{-5} +3 a^2 z^2-21 z^2 a^{-2} -18 z^2 a^{-4} -4 z^2 a^{-6} -4 z^2+4 z a^{-1} +6 z a^{-3} +2 z a^{-5} -a^2+4 a^{-2} +4 a^{-4} + a^{-6} +1 }[/math] |
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