K12n351
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^3-3 q^2+4 q-5+5 q^{-1} -5 q^{-2} +4 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+7 t-5+7 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4-4 z^2+1 }[/math] |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-3 z^2 a^{-2} +4 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-2 a^2 z^8+z^8 a^{-2} -2 z^8-11 a^3 z^7-20 a z^7-9 z^7 a^{-1} -6 a^4 z^6-10 a^2 z^6-4 z^6 a^{-2} -8 z^6+18 a^3 z^5+26 a z^5+8 z^5 a^{-1} +12 a^4 z^4+25 a^2 z^4+2 z^4 a^{-2} +15 z^4-10 a^3 z^3-9 a z^3-z^3 a^{-3} -9 a^4 z^2-16 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -7 z^2+2 a^3 z-2 z a^{-1} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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