K12n535
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-3 q^2+4 q-5+6 q^{-1} -4 q^{-2} +4 q^{-3} -2 q^{-4} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^2+7 t-11+7 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^4+3 z^2+1 }[/math] |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+z^4 a^4+5 z^2 a^4+3 a^4-z^4 a^2-z^2 a^2-z^4-z^2+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+a z^9+a^6 z^8+a^4 z^8+3 a^2 z^8+3 z^8+a^7 z^7-5 a^3 z^7-a z^7+3 z^7 a^{-1} -7 a^6 z^6-8 a^4 z^6-13 a^2 z^6+z^6 a^{-2} -11 z^6-6 a^7 z^5-4 a^5 z^5+7 a^3 z^5-6 a z^5-11 z^5 a^{-1} +12 a^6 z^4+18 a^4 z^4+18 a^2 z^4-3 z^4 a^{-2} +9 z^4+9 a^7 z^3+11 a^5 z^3-a^3 z^3+5 a z^3+8 z^3 a^{-1} -6 a^6 z^2-12 a^4 z^2-10 a^2 z^2+z^2 a^{-2} -3 z^2-4 a^7 z-5 a^5 z-a^3 z+2 a^6+3 a^4 }[/math] |
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