K12n298
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+8 q^4-11 q^3+14 q^2-15 q+14-11 q^{-1} +7 q^{-2} -3 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-21 t+31-21 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4-2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +z^4 a^{-4} +3 z^4-3 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +5 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+3 a z^9+9 z^9 a^{-1} +6 z^9 a^{-3} +a^2 z^8+3 z^8 a^{-2} +7 z^8 a^{-4} -3 z^8-12 a z^7-33 z^7 a^{-1} -17 z^7 a^{-3} +4 z^7 a^{-5} -a^2 z^6-25 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -4 z^6+3 a^3 z^5+27 a z^5+47 z^5 a^{-1} +13 z^5 a^{-3} -10 z^5 a^{-5} +a^4 z^4+6 a^2 z^4+33 z^4 a^{-2} +15 z^4 a^{-4} -2 z^4 a^{-6} +21 z^4-5 a^3 z^3-20 a z^3-24 z^3 a^{-1} -6 z^3 a^{-3} +3 z^3 a^{-5} -2 a^4 z^2-8 a^2 z^2-14 z^2 a^{-2} -5 z^2 a^{-4} -15 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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