K12n141
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-4 q^5+7 q^4-9 q^3+11 q^2-10 q+9-6 q^{-1} +2 q^{-2} - q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-13 t+19-13 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4-2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} +2 z^4+a^4 z^2-5 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +4 z^2+2 a^4-4 a^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a^3 z^9+2 a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8+a^2 z^8+4 z^8 a^{-2} +6 z^8 a^{-4} -2 z^8-8 a^3 z^7-16 a z^7-22 z^7 a^{-1} -10 z^7 a^{-3} +4 z^7 a^{-5} -7 a^4 z^6-12 a^2 z^6-26 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} -11 z^6+18 a^3 z^5+39 a z^5+33 z^5 a^{-1} +z^5 a^{-3} -11 z^5 a^{-5} +14 a^4 z^4+31 a^2 z^4+35 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +37 z^4-16 a^3 z^3-31 a z^3-17 z^3 a^{-1} +2 z^3 a^{-3} +4 z^3 a^{-5} -10 a^4 z^2-24 a^2 z^2-14 z^2 a^{-2} -4 z^2 a^{-4} -24 z^2+5 a^3 z+9 a z+5 z a^{-1} +z a^{-3} +2 a^4+4 a^2+3 }[/math] |
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