K12n311
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-3 q^2+5 q-7+9 q^{-1} -8 q^{-2} +8 q^{-3} -6 q^{-4} +3 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+13 t-19+13 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+z^2+1 }[/math] |
| Determinant | 51 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+3 z^2 a^4+2 a^4-2 z^4 a^2-3 z^2 a^2-a^2-z^4+1+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+4 a^3 z^9+3 a z^9-4 a^4 z^8+4 z^8-6 a^5 z^7-19 a^3 z^7-10 a z^7+3 z^7 a^{-1} +4 a^4 z^6-11 a^2 z^6+z^6 a^{-2} -14 z^6+15 a^5 z^5+34 a^3 z^5+9 a z^5-10 z^5 a^{-1} +2 a^6 z^4+8 a^4 z^4+21 a^2 z^4-3 z^4 a^{-2} +12 z^4-11 a^5 z^3-22 a^3 z^3-5 a z^3+6 z^3 a^{-1} -2 a^6 z^2-9 a^4 z^2-13 a^2 z^2+z^2 a^{-2} -5 z^2+3 a^5 z+5 a^3 z+2 a z+a^6+2 a^4+a^2+1 }[/math] |
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