K12n595
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-8+12 q^{-1} -14 q^{-2} +16 q^{-3} -14 q^{-4} +11 q^{-5} -7 q^{-6} +3 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+21 t-27+21 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+3 z^4+3 z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^6-2 z^2 a^6-2 a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+3 a^4+z^6 a^2+2 z^4 a^2+z^2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+a^7 z^9+5 a^5 z^9+4 a^3 z^9-a^6 z^8+6 a^4 z^8+7 a^2 z^8-2 a^7 z^7-12 a^5 z^7-3 a^3 z^7+7 a z^7+3 a^8 z^6+3 a^6 z^6-16 a^4 z^6-12 a^2 z^6+4 z^6+a^9 z^5+7 a^7 z^5+18 a^5 z^5-a^3 z^5-12 a z^5+z^5 a^{-1} -6 a^8 z^4+a^6 z^4+19 a^4 z^4+6 a^2 z^4-6 z^4-3 a^9 z^3-9 a^7 z^3-10 a^5 z^3+3 a z^3-z^3 a^{-1} +2 a^8 z^2-5 a^6 z^2-10 a^4 z^2-2 a^2 z^2+z^2+2 a^9 z+2 a^7 z+a^5 z+a^3 z+2 a^6+3 a^4 }[/math] |
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