K12n606
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+4 q^{-1} -7 q^{-2} +11 q^{-3} -12 q^{-4} +13 q^{-5} -12 q^{-6} +9 q^{-7} -6 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+18 t-23+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 | 79 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+3 z^4 a^6+3 z^2 a^6+z^6 a^4+3 z^4 a^4+4 z^2 a^4+2 a^4-z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+13 z^4 a^{10}-4 z^2 a^{10}+4 z^9 a^9-15 z^7 a^9+15 z^5 a^9-6 z^3 a^9+2 z a^9+2 z^{10} a^8-2 z^8 a^8-11 z^6 a^8+12 z^4 a^8-z^2 a^8-a^8+8 z^9 a^7-29 z^7 a^7+34 z^5 a^7-20 z^3 a^7+4 z a^7+2 z^{10} a^6-2 z^8 a^6-4 z^6 a^6+2 z^4 a^6+4 z^9 a^5-12 z^7 a^5+18 z^5 a^5-13 z^3 a^5+2 z a^5+3 z^8 a^4-5 z^6 a^4+7 z^4 a^4-5 z^2 a^4+2 a^4+z^7 a^3+3 z^5 a^3-2 z^3 a^3+z a^3+4 z^4 a^2-2 z^2 a^2+z^3 a }[/math] |
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