K12n371
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+q^6-q^4+2 q^3-2 q^2+3 q-2+2 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-2 t^2+2 t-1+2 t^{-1} -2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+4 z^4+3 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +5 z^4 a^{-2} -z^4+7 z^2 a^{-2} -z^2 a^{-6} -3 z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z^8 a^{-2} +z^8 a^{-6} -z^7 a^{-3} +z^7 a^{-7} +8 z^6 a^{-2} -z^6 a^{-4} -7 z^6 a^{-6} +2 z^6+a z^5+4 z^5 a^{-1} +7 z^5 a^{-3} -2 z^5 a^{-5} -6 z^5 a^{-7} -16 z^4 a^{-2} +4 z^4 a^{-4} +13 z^4 a^{-6} -7 z^4-3 a z^3-11 z^3 a^{-1} -11 z^3 a^{-3} +6 z^3 a^{-5} +9 z^3 a^{-7} +10 z^2 a^{-2} -2 z^2 a^{-4} -6 z^2 a^{-6} +6 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -2 z a^{-5} -3 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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