K12n771
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+5 q^{-1} -9 q^{-2} +14 q^{-3} -16 q^{-4} +17 q^{-5} -16 q^{-6} +12 q^{-7} -8 q^{-8} +4 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+24 t-31+24 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4+2 z^2+1 }[/math] |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-z^2 a^8+z^6 a^6+2 z^4 a^6+z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+2 z^2 a^4+a^4-z^4 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-14 z^6 a^{10}+14 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-14 z^7 a^9+5 z^5 a^9+7 z^3 a^9-3 z a^9+2 z^{10} a^8+5 z^8 a^8-31 z^6 a^8+27 z^4 a^8-5 z^2 a^8+10 z^9 a^7-24 z^7 a^7+5 z^5 a^7+9 z^3 a^7-5 z a^7+2 z^{10} a^6+6 z^8 a^6-25 z^6 a^6+17 z^4 a^6-5 z^2 a^6+a^6+5 z^9 a^5-7 z^7 a^5-z^5 a^5+5 z^3 a^5-3 z a^5+5 z^8 a^4-8 z^6 a^4+9 z^4 a^4-4 z^2 a^4+a^4+2 z^7 a^3+2 z^5 a^3+z^3 a^3+5 z^4 a^2-z^2 a^2-a^2+z^3 a }[/math] |
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