K12n239
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+2 q^{-1} -3 q^{-2} +6 q^{-3} -6 q^{-4} +7 q^{-5} -6 q^{-6} +5 q^{-7} -4 q^{-8} +2 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+9 t-11+9 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+7 z^4+7 z^2+1 }[/math] |
| Determinant | 43 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+z^6 a^6+4 z^4 a^6+4 z^2 a^6+z^6 a^4+5 z^4 a^4+9 z^2 a^4+5 a^4-z^4 a^2-3 z^2 a^2-2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+2 z^9 a^9-8 z^7 a^9+7 z^5 a^9-3 z^3 a^9+2 z a^9+z^{10} a^8-2 z^8 a^8-4 z^6 a^8+4 z^4 a^8+2 z^2 a^8-2 a^8+4 z^9 a^7-19 z^7 a^7+29 z^5 a^7-21 z^3 a^7+6 z a^7+z^{10} a^6-2 z^8 a^6-5 z^6 a^6+12 z^4 a^6-6 z^2 a^6+2 z^9 a^5-9 z^7 a^5+13 z^5 a^5-4 z^3 a^5-z a^5+2 z^8 a^4-10 z^6 a^4+20 z^4 a^4-15 z^2 a^4+5 a^4+z^7 a^3-4 z^5 a^3+8 z^3 a^3-4 z a^3+2 z^4 a^2-4 z^2 a^2+2 a^2+z^3 a-2 z a }[/math] |
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