K12n65
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-2 q^2+3 q-4+5 q^{-1} -5 q^{-2} +5 q^{-3} -3 q^{-4} +2 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+8 t-11+8 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-2 z^4 }[/math] |
| Determinant | 31 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+2 z^2 a^4+2 a^4-z^4 a^2-z^2 a^2-z^4-2 z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+3 a^3 z^9+2 a z^9-6 a^4 z^8-4 a^2 z^8+2 z^8-7 a^5 z^7-18 a^3 z^7-9 a z^7+2 z^7 a^{-1} +11 a^4 z^6+3 a^2 z^6+z^6 a^{-2} -7 z^6+17 a^5 z^5+36 a^3 z^5+11 a z^5-8 z^5 a^{-1} +a^6 z^4-3 a^4 z^4+2 a^2 z^4-4 z^4 a^{-2} +2 z^4-14 a^5 z^3-25 a^3 z^3-5 a z^3+6 z^3 a^{-1} -2 a^6 z^2-4 a^4 z^2-a^2 z^2+3 z^2 a^{-2} +4 z^2+3 a^5 z+5 a^3 z+a z-z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math] |
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