K12n568
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^6+6 q^5-11 q^4+15 q^3-17 q^2+18 q-15+12 q^{-1} -7 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+24 t-29+24 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+6 z^4+3 z^2+1 }[/math] |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+7 z^4 a^{-2} -2 z^4 a^{-4} +2 z^4-2 a^2 z^2+8 z^2 a^{-2} -4 z^2 a^{-4} +z^2-a^2+3 a^{-2} -2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+4 a z^9+10 z^9 a^{-1} +6 z^9 a^{-3} +3 a^2 z^8+7 z^8 a^{-2} +7 z^8 a^{-4} +3 z^8+a^3 z^7-11 a z^7-25 z^7 a^{-1} -9 z^7 a^{-3} +4 z^7 a^{-5} -11 a^2 z^6-24 z^6 a^{-2} -10 z^6 a^{-4} +z^6 a^{-6} -24 z^6-4 a^3 z^5+4 a z^5+12 z^5 a^{-1} +5 z^5 a^{-3} +z^5 a^{-5} +13 a^2 z^4+9 z^4 a^{-2} +5 z^4 a^{-4} +6 z^4 a^{-6} +23 z^4+5 a^3 z^3+6 a z^3-z^3 a^{-1} -7 z^3 a^{-3} -2 z^3 a^{-5} +3 z^3 a^{-7} -6 a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} -6 z^2-2 a^3 z-3 a z+3 z a^{-3} +z a^{-5} -z a^{-7} +a^2-3 a^{-2} -2 a^{-4} +1 }[/math] |
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