K12n280
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-4 q^6+6 q^5-9 q^4+9 q^3-8 q^2+7 q-4+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+12 t-13+12 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -8 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2-4 a^{-2} +3 a^{-4} -2 a^{-6} + a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-3} +z^9 a^{-5} +2 z^8 a^{-2} +4 z^8 a^{-4} +2 z^8 a^{-6} +z^7 a^{-1} +z^7 a^{-7} -5 z^6 a^{-2} -10 z^6 a^{-4} -5 z^6 a^{-6} +z^5 a^{-1} +z^5 a^{-7} +12 z^4 a^{-2} +16 z^4 a^{-4} +10 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4-3 z^3 a^{-1} +2 z^3 a^{-3} -5 z^3 a^{-7} -14 z^2 a^{-2} -11 z^2 a^{-4} -9 z^2 a^{-6} -6 z^2 a^{-8} -6 z^2-z a^{-1} -2 z a^{-3} +2 z a^{-5} +3 z a^{-7} +4 a^{-2} +3 a^{-4} +2 a^{-6} + a^{-8} +3 }[/math] |
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