K12n645
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-5+9 q^{-1} -11 q^{-2} +12 q^{-3} -11 q^{-4} +9 q^{-5} -6 q^{-6} +3 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+16 t-19+16 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+2 z^2+1 }[/math] |
| Determinant | 71 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+3 z^4 a^4+3 z^2 a^4+a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2+a^2-z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+a^7 z^9+4 a^5 z^9+3 a^3 z^9-3 a^6 z^8+a^4 z^8+4 a^2 z^8-3 a^7 z^7-14 a^5 z^7-7 a^3 z^7+4 a z^7+3 a^8 z^6+8 a^6 z^6-6 a^4 z^6-8 a^2 z^6+3 z^6+a^9 z^5+9 a^7 z^5+27 a^5 z^5+10 a^3 z^5-8 a z^5+z^5 a^{-1} -7 a^8 z^4-6 a^6 z^4+13 a^4 z^4+5 a^2 z^4-7 z^4-3 a^9 z^3-13 a^7 z^3-20 a^5 z^3-5 a^3 z^3+3 a z^3-2 z^3 a^{-1} +3 a^8 z^2-2 a^6 z^2-7 a^4 z^2+a^2 z^2+3 z^2+2 a^9 z+4 a^7 z+4 a^5 z+2 a^3 z+a^6+a^4-a^2 }[/math] |
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