K12n358
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q-4+6 q^{-1} -7 q^{-2} +8 q^{-3} -7 q^{-4} +5 q^{-5} -3 q^{-6} + q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+11 t-15+11 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4-z^2+1 }[/math] |
| Determinant | 43 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-z^4 a^4+a^4-2 z^4 a^2-4 z^2 a^2-2 a^2+2 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^9+a^3 z^9+a^6 z^8+3 a^4 z^8+2 a^2 z^8-3 a^5 z^7-2 a^3 z^7+a z^7-2 a^6 z^6-8 a^4 z^6-6 a^2 z^6+3 a^7 z^5+8 a^5 z^5+6 a^3 z^5+a z^5+a^8 z^4+4 a^6 z^4+12 a^4 z^4+12 a^2 z^4+3 z^4-5 a^7 z^3-6 a^5 z^3-6 a^3 z^3-5 a z^3-2 a^8 z^2-2 a^6 z^2-5 a^4 z^2-11 a^2 z^2-6 z^2+a^7 z+2 a^5 z+2 a^3 z+a z+a^4+2 a^2+2 }[/math] |
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