K12n398
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1-2 q^{-1} +4 q^{-2} -4 q^{-3} +4 q^{-4} -4 q^{-5} +3 q^{-6} - q^{-7} + q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-4 t+3-4 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-2 z^4+3 z^2+1 }[/math] |
| Determinant | 21 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^2 a^8+a^8+z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-4 z^2 a^4-2 a^4+z^4 a^2+3 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-6 z^5 a^{11}+9 z^3 a^{11}-3 z a^{11}+z^8 a^{10}-7 z^6 a^{10}+13 z^4 a^{10}-7 z^2 a^{10}+a^{10}-3 z^5 a^9+8 z^3 a^9-2 z a^9-2 z^6 a^8+8 z^4 a^8-6 z^2 a^8+a^8+2 z^5 a^7-4 z^3 a^7+2 z a^7+4 z^6 a^6-11 z^4 a^6+6 z^2 a^6-a^6+3 z^7 a^5-8 z^5 a^5+2 z^3 a^5+z a^5+z^8 a^4-10 z^4 a^4+10 z^2 a^4-2 a^4+2 z^7 a^3-7 z^5 a^3+5 z^3 a^3+z^6 a^2-4 z^4 a^2+5 z^2 a^2-2 a^2 }[/math] |
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