K12n617
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1-2 q^{-1} +3 q^{-2} -2 q^{-3} +2 q^{-4} - q^{-5} + q^{-7} -2 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-3+3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+3 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+2 a^8-2 a^6-z^6 a^4-4 z^4 a^4-2 z^2 a^4+a^4+z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-11 z^6 a^{10}+15 z^4 a^{10}-6 z^2 a^{10}+a^{10}+z^9 a^9-5 z^7 a^9+3 z^5 a^9+4 z^3 a^9-z a^9+2 z^8 a^8-14 z^6 a^8+24 z^4 a^8-12 z^2 a^8+2 a^8+z^9 a^7-7 z^7 a^7+12 z^5 a^7-7 z^3 a^7+z a^7+z^8 a^6-7 z^6 a^6+12 z^4 a^6-9 z^2 a^6+2 a^6+z^7 a^5-4 z^5 a^5+z^3 a^5+z^8 a^4-3 z^6 a^4-z^4 a^4+z^2 a^4+a^4+2 z^7 a^3-8 z^5 a^3+6 z^3 a^3+z^6 a^2-4 z^4 a^2+4 z^2 a^2-a^2 }[/math] |
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