K12n354
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-4 q^2+5 q-4+4 q^{-1} -3 q^{-2} + q^{-3} - q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+5 t-3+5 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4-2 z^2+1 }[/math] |
| Determinant | 23 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-z^2 a^4-a^4-z^4 a^2-3 z^2 a^2-a^2+z^6+4 z^4+4 z^2+2-z^4 a^{-2} -2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+4 a z^9+3 z^9 a^{-1} -4 a^2 z^8+3 z^8 a^{-2} -z^8+a^5 z^7-6 a^3 z^7-22 a z^7-14 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-2 a^2 z^6-14 z^6 a^{-2} -15 z^6-6 a^5 z^5+6 a^3 z^5+31 a z^5+15 z^5 a^{-1} -4 z^5 a^{-3} -5 a^6 z^4-5 a^4 z^4+11 a^2 z^4+16 z^4 a^{-2} +27 z^4+7 a^5 z^3+2 a^3 z^3-13 a z^3-5 z^3 a^{-1} +3 z^3 a^{-3} +5 a^6 z^2+6 a^4 z^2-6 a^2 z^2-6 z^2 a^{-2} -13 z^2-3 a^5 z-3 a^3 z+a z+z a^{-1} -a^6-a^4+a^2+2 }[/math] |
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