K12n350
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-4+9 q^{-1} -13 q^{-2} +17 q^{-3} -17 q^{-4} +16 q^{-5} -13 q^{-6} +8 q^{-7} -4 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+25 t-35+25 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+2 z^2+1 }[/math] |
| Determinant | 103 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+a^4-2 z^4 a^2-z^2 a^2+a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}+4 z^7 a^9-10 z^5 a^9+7 z^3 a^9-z a^9+6 z^8 a^8-13 z^6 a^8+5 z^4 a^8+4 z^9 a^7-19 z^5 a^7+16 z^3 a^7-5 z a^7+z^{10} a^6+10 z^8 a^6-25 z^6 a^6+13 z^4 a^6-3 z^2 a^6+a^6+6 z^9 a^5-4 z^7 a^5-11 z^5 a^5+13 z^3 a^5-5 z a^5+z^{10} a^4+5 z^8 a^4-8 z^6 a^4+4 z^4 a^4+a^4+2 z^9 a^3+2 z^5 a^3+z^3 a^3-z a^3+z^8 a^2+3 z^6 a^2-z^4 a^2+z^2 a^2-a^2+4 z^5 a-3 z^3 a+z^4-z^2 }[/math] |
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