K12n786
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^8+6 q^7-12 q^6+18 q^5-22 q^4+24 q^3-21 q^2+17 q-11+5 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+33 t-45+33 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^2+1 }[/math] |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -z^4+z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} + a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +8 z^9 a^{-3} +11 z^9 a^{-5} +3 z^9 a^{-7} +13 z^8 a^{-2} +16 z^8 a^{-4} +4 z^8 a^{-6} +z^8 a^{-8} +11 z^7 a^{-1} -z^7 a^{-3} -15 z^7 a^{-5} -3 z^7 a^{-7} -19 z^6 a^{-2} -35 z^6 a^{-4} -7 z^6 a^{-6} +4 z^6 a^{-8} +5 z^6+a z^5-15 z^5 a^{-1} -16 z^5 a^{-3} +3 z^5 a^{-5} +6 z^5 a^{-7} +3 z^5 a^{-9} +5 z^4 a^{-2} +18 z^4 a^{-4} -9 z^4 a^{-8} -4 z^4+3 z^3 a^{-1} +8 z^3 a^{-3} +2 z^3 a^{-5} -9 z^3 a^{-7} -6 z^3 a^{-9} +z^2 a^{-2} +3 z^2 a^{-6} +4 z^2 a^{-8} +3 z a^{-7} +3 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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